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Finding the Fourth Proportional to 72,577.86, 108,866.65 and 47,611.96

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Solution

The fourth proportional to 72,577.86, 108,866.65 and 47,611.96 is: 71,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,577.86 : 108,866.65 = 47,611.96 : x
  2. Step 2: Convert to fraction form
    72,577.86/108,866.65 = 47,611.96/x
  3. Step 3: Cross multiply
    72,577.86x = 108,866.65 × 47,611.96
  4. Step 4: Simplify right side
    72,577.86x = 5,183,354,585.13
  5. Step 5: Solve for x
    x = 5,183,354,585.13/72,577.86
  6. Step 6: Final answer
    x = 71,417.85

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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.