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Finding the Fourth Proportional to 86,909.76, 119,935.46 and 47,165.76

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Solution

The fourth proportional to 86,909.76, 119,935.46 and 47,165.76 is: 65,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,909.76 : 119,935.46 = 47,165.76 : x
  2. Step 2: Convert to fraction form
    86,909.76/119,935.46 = 47,165.76/x
  3. Step 3: Cross multiply
    86,909.76x = 119,935.46 × 47,165.76
  4. Step 4: Simplify right side
    86,909.76x = 5,656,847,121.85
  5. Step 5: Solve for x
    x = 5,656,847,121.85/86,909.76
  6. Step 6: Final answer
    x = 65,088.74

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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.