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Finding the Fourth Proportional to 83,460, 125,190.16 and 20,280.18

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Solution

The fourth proportional to 83,460, 125,190.16 and 20,280.18 is: 30,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460 : 125,190.16 = 20,280.18 : x
  2. Step 2: Convert to fraction form
    83,460/125,190.16 = 20,280.18/x
  3. Step 3: Cross multiply
    83,460x = 125,190.16 × 20,280.18
  4. Step 4: Simplify right side
    83,460x = 2,538,878,979.03
  5. Step 5: Solve for x
    x = 2,538,878,979.03/83,460
  6. Step 6: Final answer
    x = 30,420.31

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1.5x scale

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.