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Finding the Fourth Proportional to 99,757.76, 149,549.04 and 40,643.16

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Solution

The fourth proportional to 99,757.76, 149,549.04 and 40,643.16 is: 60,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757.76 : 149,549.04 = 40,643.16 : x
  2. Step 2: Convert to fraction form
    99,757.76/149,549.04 = 40,643.16/x
  3. Step 3: Cross multiply
    99,757.76x = 149,549.04 × 40,643.16
  4. Step 4: Simplify right side
    99,757.76x = 6,078,145,560.57
  5. Step 5: Solve for x
    x = 6,078,145,560.57/99,757.76
  6. Step 6: Final answer
    x = 60,929.05

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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.