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Finding the Fourth Proportional to 84,565.62, 126,856.80 and 31,271.58

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Solution

The fourth proportional to 84,565.62, 126,856.80 and 31,271.58 is: 46,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,565.62 : 126,856.80 = 31,271.58 : x
  2. Step 2: Convert to fraction form
    84,565.62/126,856.80 = 31,271.58/x
  3. Step 3: Cross multiply
    84,565.62x = 126,856.80 × 31,271.58
  4. Step 4: Simplify right side
    84,565.62x = 3,967,012,569.74
  5. Step 5: Solve for x
    x = 3,967,012,569.74/84,565.62
  6. Step 6: Final answer
    x = 46,910.47

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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.