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Finding the Fourth Proportional to 137,985.77, 206,805.51 and 59,007.12

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Solution

The fourth proportional to 137,985.77, 206,805.51 and 59,007.12 is: 88,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,985.77 : 206,805.51 = 59,007.12 : x
  2. Step 2: Convert to fraction form
    137,985.77/206,805.51 = 59,007.12/x
  3. Step 3: Cross multiply
    137,985.77x = 206,805.51 × 59,007.12
  4. Step 4: Simplify right side
    137,985.77x = 12,202,997,545.23
  5. Step 5: Solve for x
    x = 12,202,997,545.23/137,985.77
  6. Step 6: Final answer
    x = 88,436.64

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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.