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Finding the Fourth Proportional to 86,909.28, 119,934.78 and 47,165.28

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Solution

The fourth proportional to 86,909.28, 119,934.78 and 47,165.28 is: 65,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,909.28 : 119,934.78 = 47,165.28 : x
  2. Step 2: Convert to fraction form
    86,909.28/119,934.78 = 47,165.28/x
  3. Step 3: Cross multiply
    86,909.28x = 119,934.78 × 47,165.28
  4. Step 4: Simplify right side
    86,909.28x = 5,656,757,480.44
  5. Step 5: Solve for x
    x = 5,656,757,480.44/86,909.28
  6. Step 6: Final answer
    x = 65,088.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.