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Finding the Fourth Proportional to 151,737.61, 209,397.91 and 83,754.60

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Solution

The fourth proportional to 151,737.61, 209,397.91 and 83,754.60 is: 115,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,737.61 : 209,397.91 = 83,754.60 : x
  2. Step 2: Convert to fraction form
    151,737.61/209,397.91 = 83,754.60/x
  3. Step 3: Cross multiply
    151,737.61x = 209,397.91 × 83,754.60
  4. Step 4: Simplify right side
    151,737.61x = 17,538,038,275.49
  5. Step 5: Solve for x
    x = 17,538,038,275.49/151,737.61
  6. Step 6: Final answer
    x = 115,581.35

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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.