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Finding the Fourth Proportional to 123,920, 170,931.56 and 98,829.44

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Solution

The fourth proportional to 123,920, 170,931.56 and 98,829.44 is: 136,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,920 : 170,931.56 = 98,829.44 : x
  2. Step 2: Convert to fraction form
    123,920/170,931.56 = 98,829.44/x
  3. Step 3: Cross multiply
    123,920x = 170,931.56 × 98,829.44
  4. Step 4: Simplify right side
    123,920x = 16,893,070,353.13
  5. Step 5: Solve for x
    x = 16,893,070,353.13/123,920
  6. Step 6: Final answer
    x = 136,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.