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Finding the Fourth Proportional to 70,729.52, 106,088.64 and 41,128.48

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Solution

The fourth proportional to 70,729.52, 106,088.64 and 41,128.48 is: 61,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,729.52 : 106,088.64 = 41,128.48 : x
  2. Step 2: Convert to fraction form
    70,729.52/106,088.64 = 41,128.48/x
  3. Step 3: Cross multiply
    70,729.52x = 106,088.64 × 41,128.48
  4. Step 4: Simplify right side
    70,729.52x = 4,363,264,508.47
  5. Step 5: Solve for x
    x = 4,363,264,508.47/70,729.52
  6. Step 6: Final answer
    x = 61,689.44

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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.