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Finding the Fourth Proportional to 48,010.70, 72,016.05 and 31,421.90

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Solution

The fourth proportional to 48,010.70, 72,016.05 and 31,421.90 is: 47,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,010.70 : 72,016.05 = 31,421.90 : x
  2. Step 2: Convert to fraction form
    48,010.70/72,016.05 = 31,421.90/x
  3. Step 3: Cross multiply
    48,010.70x = 72,016.05 × 31,421.90
  4. Step 4: Simplify right side
    48,010.70x = 2,262,881,121.50
  5. Step 5: Solve for x
    x = 2,262,881,121.50/48,010.70
  6. Step 6: Final answer
    x = 47,132.85

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1.5x scale

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.