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Finding the Fourth Proportional to 99,689.49, 149,534.22 and 29,568.20

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Solution

The fourth proportional to 99,689.49, 149,534.22 and 29,568.20 is: 44,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,689.49 : 149,534.22 = 29,568.20 : x
  2. Step 2: Convert to fraction form
    99,689.49/149,534.22 = 29,568.20/x
  3. Step 3: Cross multiply
    99,689.49x = 149,534.22 × 29,568.20
  4. Step 4: Simplify right side
    99,689.49x = 4,421,456,976.13
  5. Step 5: Solve for x
    x = 4,421,456,976.13/99,689.49
  6. Step 6: Final answer
    x = 44,352.29

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1.5x scale

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.