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Finding the Fourth Proportional to 153,965.20, 230,947.80 and 146,748.10

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Solution

The fourth proportional to 153,965.20, 230,947.80 and 146,748.10 is: 220,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,965.20 : 230,947.80 = 146,748.10 : x
  2. Step 2: Convert to fraction form
    153,965.20/230,947.80 = 146,748.10/x
  3. Step 3: Cross multiply
    153,965.20x = 230,947.80 × 146,748.10
  4. Step 4: Simplify right side
    153,965.20x = 33,891,150,849.18
  5. Step 5: Solve for x
    x = 33,891,150,849.18/153,965.20
  6. Step 6: Final answer
    x = 220,122.15

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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.