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Finding the Fourth Proportional to 72,302.63, 99,821.36 and 47,195.87

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Solution

The fourth proportional to 72,302.63, 99,821.36 and 47,195.87 is: 65,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302.63 : 99,821.36 = 47,195.87 : x
  2. Step 2: Convert to fraction form
    72,302.63/99,821.36 = 47,195.87/x
  3. Step 3: Cross multiply
    72,302.63x = 99,821.36 × 47,195.87
  4. Step 4: Simplify right side
    72,302.63x = 4,711,155,548.67
  5. Step 5: Solve for x
    x = 4,711,155,548.67/72,302.63
  6. Step 6: Final answer
    x = 65,158.85

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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.