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Finding the Fourth Proportional to 84,154.92, 126,254.34 and 31,565.40

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Solution

The fourth proportional to 84,154.92, 126,254.34 and 31,565.40 is: 47,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,154.92 : 126,254.34 = 31,565.40 : x
  2. Step 2: Convert to fraction form
    84,154.92/126,254.34 = 31,565.40/x
  3. Step 3: Cross multiply
    84,154.92x = 126,254.34 × 31,565.40
  4. Step 4: Simplify right side
    84,154.92x = 3,985,268,743.84
  5. Step 5: Solve for x
    x = 3,985,268,743.84/84,154.92
  6. Step 6: Final answer
    x = 47,356.34

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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.