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Finding the Fourth Proportional to 101,152.10, 151,728.15 and 41,981.60

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Solution

The fourth proportional to 101,152.10, 151,728.15 and 41,981.60 is: 62,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,152.10 : 151,728.15 = 41,981.60 : x
  2. Step 2: Convert to fraction form
    101,152.10/151,728.15 = 41,981.60/x
  3. Step 3: Cross multiply
    101,152.10x = 151,728.15 × 41,981.60
  4. Step 4: Simplify right side
    101,152.10x = 6,369,790,502.04
  5. Step 5: Solve for x
    x = 6,369,790,502.04/101,152.10
  6. Step 6: Final answer
    x = 62,972.40

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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.