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Finding the Fourth Proportional to 201,762.10, 278,421.01 and 115,716.64

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Solution

The fourth proportional to 201,762.10, 278,421.01 and 115,716.64 is: 159,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.10 : 278,421.01 = 115,716.64 : x
  2. Step 2: Convert to fraction form
    201,762.10/278,421.01 = 115,716.64/x
  3. Step 3: Cross multiply
    201,762.10x = 278,421.01 × 115,716.64
  4. Step 4: Simplify right side
    201,762.10x = 32,217,943,782.61
  5. Step 5: Solve for x
    x = 32,217,943,782.61/201,762.10
  6. Step 6: Final answer
    x = 159,682.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.