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Finding the Fourth Proportional to 77,657.59, 116,315.64 and 64,177.81

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Solution

The fourth proportional to 77,657.59, 116,315.64 and 64,177.81 is: 96,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.59 : 116,315.64 = 64,177.81 : x
  2. Step 2: Convert to fraction form
    77,657.59/116,315.64 = 64,177.81/x
  3. Step 3: Cross multiply
    77,657.59x = 116,315.64 × 64,177.81
  4. Step 4: Simplify right side
    77,657.59x = 7,464,882,899.80
  5. Step 5: Solve for x
    x = 7,464,882,899.80/77,657.59
  6. Step 6: Final answer
    x = 96,125.61

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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.