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Finding the Fourth Proportional to 137,585.27, 206,343.72 and 77,640.06

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Solution

The fourth proportional to 137,585.27, 206,343.72 and 77,640.06 is: 116,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.27 : 206,343.72 = 77,640.06 : x
  2. Step 2: Convert to fraction form
    137,585.27/206,343.72 = 77,640.06/x
  3. Step 3: Cross multiply
    137,585.27x = 206,343.72 × 77,640.06
  4. Step 4: Simplify right side
    137,585.27x = 16,020,538,801.42
  5. Step 5: Solve for x
    x = 16,020,538,801.42/137,585.27
  6. Step 6: Final answer
    x = 116,440.80

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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.