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Finding the Fourth Proportional to 99,681.90, 149,315.16 and 49,610.16

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Solution

The fourth proportional to 99,681.90, 149,315.16 and 49,610.16 is: 74,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,681.90 : 149,315.16 = 49,610.16 : x
  2. Step 2: Convert to fraction form
    99,681.90/149,315.16 = 49,610.16/x
  3. Step 3: Cross multiply
    99,681.90x = 149,315.16 × 49,610.16
  4. Step 4: Simplify right side
    99,681.90x = 7,407,548,978.03
  5. Step 5: Solve for x
    x = 7,407,548,978.03/99,681.90
  6. Step 6: Final answer
    x = 74,311.88

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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.