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Finding the Fourth Proportional to 99,589.71, 149,384.16 and 40,424.88

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Solution

The fourth proportional to 99,589.71, 149,384.16 and 40,424.88 is: 60,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,589.71 : 149,384.16 = 40,424.88 : x
  2. Step 2: Convert to fraction form
    99,589.71/149,384.16 = 40,424.88/x
  3. Step 3: Cross multiply
    99,589.71x = 149,384.16 × 40,424.88
  4. Step 4: Simplify right side
    99,589.71x = 6,038,836,741.90
  5. Step 5: Solve for x
    x = 6,038,836,741.90/99,589.71
  6. Step 6: Final answer
    x = 60,637.16

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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.