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Finding the Fourth Proportional to 77,487.92, 116,231.88 and 30,740.79

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Solution

The fourth proportional to 77,487.92, 116,231.88 and 30,740.79 is: 46,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487.92 : 116,231.88 = 30,740.79 : x
  2. Step 2: Convert to fraction form
    77,487.92/116,231.88 = 30,740.79/x
  3. Step 3: Cross multiply
    77,487.92x = 116,231.88 × 30,740.79
  4. Step 4: Simplify right side
    77,487.92x = 3,573,059,814.39
  5. Step 5: Solve for x
    x = 3,573,059,814.39/77,487.92
  6. Step 6: Final answer
    x = 46,111.19

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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.