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Finding the Fourth Proportional to 84,191.52, 126,254.28 and 31,572.32

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Solution

The fourth proportional to 84,191.52, 126,254.28 and 31,572.32 is: 47,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,191.52 : 126,254.28 = 31,572.32 : x
  2. Step 2: Convert to fraction form
    84,191.52/126,254.28 = 31,572.32/x
  3. Step 3: Cross multiply
    84,191.52x = 126,254.28 × 31,572.32
  4. Step 4: Simplify right side
    84,191.52x = 3,986,140,529.53
  5. Step 5: Solve for x
    x = 3,986,140,529.53/84,191.52
  6. Step 6: Final answer
    x = 47,346.10

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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.