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Finding the Fourth Proportional to 88,824.30, 133,042.05 and 77,160.30

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Solution

The fourth proportional to 88,824.30, 133,042.05 and 77,160.30 is: 115,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,824.30 : 133,042.05 = 77,160.30 : x
  2. Step 2: Convert to fraction form
    88,824.30/133,042.05 = 77,160.30/x
  3. Step 3: Cross multiply
    88,824.30x = 133,042.05 × 77,160.30
  4. Step 4: Simplify right side
    88,824.30x = 10,265,564,490.62
  5. Step 5: Solve for x
    x = 10,265,564,490.62/88,824.30
  6. Step 6: Final answer
    x = 115,571.58

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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.