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Finding the Fourth Proportional to 201,825,672.70, 302,722,762.65 and 78,980,133.10

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Solution

The fourth proportional to 201,825,672.70, 302,722,762.65 and 78,980,133.10 is: 118,464,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825,672.70 : 302,722,762.65 = 78,980,133.10 : x
  2. Step 2: Convert to fraction form
    201,825,672.70/302,722,762.65 = 78,980,133.10/x
  3. Step 3: Cross multiply
    201,825,672.70x = 302,722,762.65 × 78,980,133.10
  4. Step 4: Simplify right side
    201,825,672.70x = 23,909,084,086,496,704
  5. Step 5: Solve for x
    x = 23,909,084,086,496,704/201,825,672.70
  6. Step 6: Final answer
    x = 118,464,037.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.