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Finding the Fourth Proportional to 137,343.81, 206,047.86 and 42,569.04

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Solution

The fourth proportional to 137,343.81, 206,047.86 and 42,569.04 is: 63,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,343.81 : 206,047.86 = 42,569.04 : x
  2. Step 2: Convert to fraction form
    137,343.81/206,047.86 = 42,569.04/x
  3. Step 3: Cross multiply
    137,343.81x = 206,047.86 × 42,569.04
  4. Step 4: Simplify right side
    137,343.81x = 8,771,259,594.25
  5. Step 5: Solve for x
    x = 8,771,259,594.25/137,343.81
  6. Step 6: Final answer
    x = 63,863.52

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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.