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Finding the Fourth Proportional to 103,517, 142,961.88 and 71,335.28

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Solution

The fourth proportional to 103,517, 142,961.88 and 71,335.28 is: 98,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,517 : 142,961.88 = 71,335.28 : x
  2. Step 2: Convert to fraction form
    103,517/142,961.88 = 71,335.28/x
  3. Step 3: Cross multiply
    103,517x = 142,961.88 × 71,335.28
  4. Step 4: Simplify right side
    103,517x = 10,198,225,739.13
  5. Step 5: Solve for x
    x = 10,198,225,739.13/103,517
  6. Step 6: Final answer
    x = 98,517.40

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1.5x scale

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.