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Finding the Fourth Proportional to 210,715.61, 316,020.80 and 82,657.92

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Solution

The fourth proportional to 210,715.61, 316,020.80 and 82,657.92 is: 123,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,715.61 : 316,020.80 = 82,657.92 : x
  2. Step 2: Convert to fraction form
    210,715.61/316,020.80 = 82,657.92/x
  3. Step 3: Cross multiply
    210,715.61x = 316,020.80 × 82,657.92
  4. Step 4: Simplify right side
    210,715.61x = 26,121,621,591.45
  5. Step 5: Solve for x
    x = 26,121,621,591.45/210,715.61
  6. Step 6: Final answer
    x = 123,966.24

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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.