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Finding the Fourth Proportional to 153,454.08, 230,181.12 and 87,744

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Solution

The fourth proportional to 153,454.08, 230,181.12 and 87,744 is: 131,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,454.08 : 230,181.12 = 87,744 : x
  2. Step 2: Convert to fraction form
    153,454.08/230,181.12 = 87,744/x
  3. Step 3: Cross multiply
    153,454.08x = 230,181.12 × 87,744
  4. Step 4: Simplify right side
    153,454.08x = 20,197,012,193.28
  5. Step 5: Solve for x
    x = 20,197,012,193.28/153,454.08
  6. Step 6: Final answer
    x = 131,616

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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.