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Finding the Fourth Proportional to 82,716, 123,916.68 and 47,202

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Solution

The fourth proportional to 82,716, 123,916.68 and 47,202 is: 70,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716 : 123,916.68 = 47,202 : x
  2. Step 2: Convert to fraction form
    82,716/123,916.68 = 47,202/x
  3. Step 3: Cross multiply
    82,716x = 123,916.68 × 47,202
  4. Step 4: Simplify right side
    82,716x = 5,849,115,129.36
  5. Step 5: Solve for x
    x = 5,849,115,129.36/82,716
  6. Step 6: Final answer
    x = 70,713.23

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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.