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Finding the Fourth Proportional to 157,043.52, 216,721.20 and 85,424.16

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Solution

The fourth proportional to 157,043.52, 216,721.20 and 85,424.16 is: 117,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,043.52 : 216,721.20 = 85,424.16 : x
  2. Step 2: Convert to fraction form
    157,043.52/216,721.20 = 85,424.16/x
  3. Step 3: Cross multiply
    157,043.52x = 216,721.20 × 85,424.16
  4. Step 4: Simplify right side
    157,043.52x = 18,513,226,464.19
  5. Step 5: Solve for x
    x = 18,513,226,464.19/157,043.52
  6. Step 6: Final answer
    x = 117,885.96

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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.