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Finding the Fourth Proportional to 53,920.60, 80,928.90 and 31,706.20

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Solution

The fourth proportional to 53,920.60, 80,928.90 and 31,706.20 is: 47,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,920.60 : 80,928.90 = 31,706.20 : x
  2. Step 2: Convert to fraction form
    53,920.60/80,928.90 = 31,706.20/x
  3. Step 3: Cross multiply
    53,920.60x = 80,928.90 × 31,706.20
  4. Step 4: Simplify right side
    53,920.60x = 2,565,947,889.18
  5. Step 5: Solve for x
    x = 2,565,947,889.18/53,920.60
  6. Step 6: Final answer
    x = 47,587.52

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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.