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Finding the Fourth Proportional to 99,820.98, 149,862.68 and 91,568.70

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Solution

The fourth proportional to 99,820.98, 149,862.68 and 91,568.70 is: 137,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820.98 : 149,862.68 = 91,568.70 : x
  2. Step 2: Convert to fraction form
    99,820.98/149,862.68 = 91,568.70/x
  3. Step 3: Cross multiply
    99,820.98x = 149,862.68 × 91,568.70
  4. Step 4: Simplify right side
    99,820.98x = 13,722,730,786.12
  5. Step 5: Solve for x
    x = 13,722,730,786.12/99,820.98
  6. Step 6: Final answer
    x = 137,473.41

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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.