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Finding the Fourth Proportional to 72,285.68, 99,741.12 and 41,654

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Solution

The fourth proportional to 72,285.68, 99,741.12 and 41,654 is: 57,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285.68 : 99,741.12 = 41,654 : x
  2. Step 2: Convert to fraction form
    72,285.68/99,741.12 = 41,654/x
  3. Step 3: Cross multiply
    72,285.68x = 99,741.12 × 41,654
  4. Step 4: Simplify right side
    72,285.68x = 4,154,616,612.48
  5. Step 5: Solve for x
    x = 4,154,616,612.48/72,285.68
  6. Step 6: Final answer
    x = 57,474.96

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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.