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Finding the Fourth Proportional to 151,177.92, 208,602.72 and 87,522

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Solution

The fourth proportional to 151,177.92, 208,602.72 and 87,522 is: 120,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,177.92 : 208,602.72 = 87,522 : x
  2. Step 2: Convert to fraction form
    151,177.92/208,602.72 = 87,522/x
  3. Step 3: Cross multiply
    151,177.92x = 208,602.72 × 87,522
  4. Step 4: Simplify right side
    151,177.92x = 18,257,327,259.84
  5. Step 5: Solve for x
    x = 18,257,327,259.84/151,177.92
  6. Step 6: Final answer
    x = 120,767.15

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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.