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Finding the Fourth Proportional to 77,937.52, 116,889 and 46,781.68

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Solution

The fourth proportional to 77,937.52, 116,889 and 46,781.68 is: 70,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,937.52 : 116,889 = 46,781.68 : x
  2. Step 2: Convert to fraction form
    77,937.52/116,889 = 46,781.68/x
  3. Step 3: Cross multiply
    77,937.52x = 116,889 × 46,781.68
  4. Step 4: Simplify right side
    77,937.52x = 5,468,263,793.52
  5. Step 5: Solve for x
    x = 5,468,263,793.52/77,937.52
  6. Step 6: Final answer
    x = 70,162.15

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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.