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Finding the Fourth Proportional to 91,042.88, 136,564.32 and 35,600

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Solution

The fourth proportional to 91,042.88, 136,564.32 and 35,600 is: 53,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,042.88 : 136,564.32 = 35,600 : x
  2. Step 2: Convert to fraction form
    91,042.88/136,564.32 = 35,600/x
  3. Step 3: Cross multiply
    91,042.88x = 136,564.32 × 35,600
  4. Step 4: Simplify right side
    91,042.88x = 4,861,689,792
  5. Step 5: Solve for x
    x = 4,861,689,792/91,042.88
  6. Step 6: Final answer
    x = 53,400

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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.