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Finding the Fourth Proportional to 201,698.60, 302,645.10 and 142,406.60

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Solution

The fourth proportional to 201,698.60, 302,645.10 and 142,406.60 is: 213,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.60 : 302,645.10 = 142,406.60 : x
  2. Step 2: Convert to fraction form
    201,698.60/302,645.10 = 142,406.60/x
  3. Step 3: Cross multiply
    201,698.60x = 302,645.10 × 142,406.60
  4. Step 4: Simplify right side
    201,698.60x = 43,098,659,697.66
  5. Step 5: Solve for x
    x = 43,098,659,697.66/201,698.60
  6. Step 6: Final answer
    x = 213,678.53

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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.