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Finding the Fourth Proportional to 72,208.46, 99,647.88 and 40,377.90

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Solution

The fourth proportional to 72,208.46, 99,647.88 and 40,377.90 is: 55,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,208.46 : 99,647.88 = 40,377.90 : x
  2. Step 2: Convert to fraction form
    72,208.46/99,647.88 = 40,377.90/x
  3. Step 3: Cross multiply
    72,208.46x = 99,647.88 × 40,377.90
  4. Step 4: Simplify right side
    72,208.46x = 4,023,572,133.85
  5. Step 5: Solve for x
    x = 4,023,572,133.85/72,208.46
  6. Step 6: Final answer
    x = 55,721.62

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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.