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Finding the Fourth Proportional to 48,266.70, 72,400.05 and 13,209.90

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Solution

The fourth proportional to 48,266.70, 72,400.05 and 13,209.90 is: 19,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,266.70 : 72,400.05 = 13,209.90 : x
  2. Step 2: Convert to fraction form
    48,266.70/72,400.05 = 13,209.90/x
  3. Step 3: Cross multiply
    48,266.70x = 72,400.05 × 13,209.90
  4. Step 4: Simplify right side
    48,266.70x = 956,397,420.50
  5. Step 5: Solve for x
    x = 956,397,420.50/48,266.70
  6. Step 6: Final answer
    x = 19,814.85

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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.