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Finding the Fourth Proportional to 52,657.70, 72,669.02 and 31,449.20

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Solution

The fourth proportional to 52,657.70, 72,669.02 and 31,449.20 is: 43,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.70 : 72,669.02 = 31,449.20 : x
  2. Step 2: Convert to fraction form
    52,657.70/72,669.02 = 31,449.20/x
  3. Step 3: Cross multiply
    52,657.70x = 72,669.02 × 31,449.20
  4. Step 4: Simplify right side
    52,657.70x = 2,285,382,023.19
  5. Step 5: Solve for x
    x = 2,285,382,023.19/52,657.70
  6. Step 6: Final answer
    x = 43,400.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.