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Finding the Fourth Proportional to 82,483,689.80, 123,857,726.70 and 65,584,886.60

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Solution

The fourth proportional to 82,483,689.80, 123,857,726.70 and 65,584,886.60 is: 98,482,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483,689.80 : 123,857,726.70 = 65,584,886.60 : x
  2. Step 2: Convert to fraction form
    82,483,689.80/123,857,726.70 = 65,584,886.60/x
  3. Step 3: Cross multiply
    82,483,689.80x = 123,857,726.70 × 65,584,886.60
  4. Step 4: Simplify right side
    82,483,689.80x = 8,123,194,960,153,293
  5. Step 5: Solve for x
    x = 8,123,194,960,153,293/82,483,689.80
  6. Step 6: Final answer
    x = 98,482,439.13

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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.