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Finding the Fourth Proportional to 48,378.40, 72,471.60 and 42,605.60

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Solution

The fourth proportional to 48,378.40, 72,471.60 and 42,605.60 is: 63,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378.40 : 72,471.60 = 42,605.60 : x
  2. Step 2: Convert to fraction form
    48,378.40/72,471.60 = 42,605.60/x
  3. Step 3: Cross multiply
    48,378.40x = 72,471.60 × 42,605.60
  4. Step 4: Simplify right side
    48,378.40x = 3,087,696,000.96
  5. Step 5: Solve for x
    x = 3,087,696,000.96/48,378.40
  6. Step 6: Final answer
    x = 63,823.86

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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.