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Finding the Fourth Proportional to 315,142.85, 472,743.14 and 125,557.29

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Solution

The fourth proportional to 315,142.85, 472,743.14 and 125,557.29 is: 188,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142.85 : 472,743.14 = 125,557.29 : x
  2. Step 2: Convert to fraction form
    315,142.85/472,743.14 = 125,557.29/x
  3. Step 3: Cross multiply
    315,142.85x = 472,743.14 × 125,557.29
  4. Step 4: Simplify right side
    315,142.85x = 59,356,346,896.70
  5. Step 5: Solve for x
    x = 59,356,346,896.70/315,142.85
  6. Step 6: Final answer
    x = 188,347.43

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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.