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Finding the Fourth Proportional to 155,109.12, 232,665.12 and 99,744

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Solution

The fourth proportional to 155,109.12, 232,665.12 and 99,744 is: 149,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,109.12 : 232,665.12 = 99,744 : x
  2. Step 2: Convert to fraction form
    155,109.12/232,665.12 = 99,744/x
  3. Step 3: Cross multiply
    155,109.12x = 232,665.12 × 99,744
  4. Step 4: Simplify right side
    155,109.12x = 23,206,949,729.28
  5. Step 5: Solve for x
    x = 23,206,949,729.28/155,109.12
  6. Step 6: Final answer
    x = 149,616.93

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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.