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Finding the Fourth Proportional to 77,423.68, 116,206.80 and 47,899.18

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Solution

The fourth proportional to 77,423.68, 116,206.80 and 47,899.18 is: 71,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,423.68 : 116,206.80 = 47,899.18 : x
  2. Step 2: Convert to fraction form
    77,423.68/116,206.80 = 47,899.18/x
  3. Step 3: Cross multiply
    77,423.68x = 116,206.80 × 47,899.18
  4. Step 4: Simplify right side
    77,423.68x = 5,566,210,430.42
  5. Step 5: Solve for x
    x = 5,566,210,430.42/77,423.68
  6. Step 6: Final answer
    x = 71,892.87

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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.