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Finding the Fourth Proportional to 157,810, 217,784.28 and 90,742

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Solution

The fourth proportional to 157,810, 217,784.28 and 90,742 is: 125,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810 : 217,784.28 = 90,742 : x
  2. Step 2: Convert to fraction form
    157,810/217,784.28 = 90,742/x
  3. Step 3: Cross multiply
    157,810x = 217,784.28 × 90,742
  4. Step 4: Simplify right side
    157,810x = 19,762,181,135.76
  5. Step 5: Solve for x
    x = 19,762,181,135.76/157,810
  6. Step 6: Final answer
    x = 125,227.69

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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.