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Finding the Fourth Proportional to 137,487, 206,262.66 and 42,712.32

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Solution

The fourth proportional to 137,487, 206,262.66 and 42,712.32 is: 64,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,487 : 206,262.66 = 42,712.32 : x
  2. Step 2: Convert to fraction form
    137,487/206,262.66 = 42,712.32/x
  3. Step 3: Cross multiply
    137,487x = 206,262.66 × 42,712.32
  4. Step 4: Simplify right side
    137,487x = 8,809,956,737.97
  5. Step 5: Solve for x
    x = 8,809,956,737.97/137,487
  6. Step 6: Final answer
    x = 64,078.47

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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.