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Finding the Fourth Proportional to 77,564.58, 116,445.33 and 65,951.61

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Solution

The fourth proportional to 77,564.58, 116,445.33 and 65,951.61 is: 99,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,564.58 : 116,445.33 = 65,951.61 : x
  2. Step 2: Convert to fraction form
    77,564.58/116,445.33 = 65,951.61/x
  3. Step 3: Cross multiply
    77,564.58x = 116,445.33 × 65,951.61
  4. Step 4: Simplify right side
    77,564.58x = 7,679,756,990.48
  5. Step 5: Solve for x
    x = 7,679,756,990.48/77,564.58
  6. Step 6: Final answer
    x = 99,011.13

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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.