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Finding the Fourth Proportional to 72,709.04, 109,113.78 and 47,761.04

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Solution

The fourth proportional to 72,709.04, 109,113.78 and 47,761.04 is: 71,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.04 : 109,113.78 = 47,761.04 : x
  2. Step 2: Convert to fraction form
    72,709.04/109,113.78 = 47,761.04/x
  3. Step 3: Cross multiply
    72,709.04x = 109,113.78 × 47,761.04
  4. Step 4: Simplify right side
    72,709.04x = 5,211,387,611.13
  5. Step 5: Solve for x
    x = 5,211,387,611.13/72,709.04
  6. Step 6: Final answer
    x = 71,674.55

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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.