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Finding the Fourth Proportional to 52,478.48, 72,440.52 and 38,442.80

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Solution

The fourth proportional to 52,478.48, 72,440.52 and 38,442.80 is: 53,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.48 : 72,440.52 = 38,442.80 : x
  2. Step 2: Convert to fraction form
    52,478.48/72,440.52 = 38,442.80/x
  3. Step 3: Cross multiply
    52,478.48x = 72,440.52 × 38,442.80
  4. Step 4: Simplify right side
    52,478.48x = 2,784,816,422.26
  5. Step 5: Solve for x
    x = 2,784,816,422.26/52,478.48
  6. Step 6: Final answer
    x = 53,065.87

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