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Finding the Fourth Proportional to 77,558.92, 116,112.39 and 57,656.61

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Solution

The fourth proportional to 77,558.92, 116,112.39 and 57,656.61 is: 86,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,558.92 : 116,112.39 = 57,656.61 : x
  2. Step 2: Convert to fraction form
    77,558.92/116,112.39 = 57,656.61/x
  3. Step 3: Cross multiply
    77,558.92x = 116,112.39 × 57,656.61
  4. Step 4: Simplify right side
    77,558.92x = 6,694,646,570.19
  5. Step 5: Solve for x
    x = 6,694,646,570.19/77,558.92
  6. Step 6: Final answer
    x = 86,316.92

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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.