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Finding the Fourth Proportional to 77,425.68, 116,209.80 and 47,901.18

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Solution

The fourth proportional to 77,425.68, 116,209.80 and 47,901.18 is: 71,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425.68 : 116,209.80 = 47,901.18 : x
  2. Step 2: Convert to fraction form
    77,425.68/116,209.80 = 47,901.18/x
  3. Step 3: Cross multiply
    77,425.68x = 116,209.80 × 47,901.18
  4. Step 4: Simplify right side
    77,425.68x = 5,566,586,547.56
  5. Step 5: Solve for x
    x = 5,566,586,547.56/77,425.68
  6. Step 6: Final answer
    x = 71,895.87

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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.