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Finding the Fourth Proportional to 153,014.80, 229,522.20 and 135,956.20

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Solution

The fourth proportional to 153,014.80, 229,522.20 and 135,956.20 is: 203,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,014.80 : 229,522.20 = 135,956.20 : x
  2. Step 2: Convert to fraction form
    153,014.80/229,522.20 = 135,956.20/x
  3. Step 3: Cross multiply
    153,014.80x = 229,522.20 × 135,956.20
  4. Step 4: Simplify right side
    153,014.80x = 31,204,966,127.64
  5. Step 5: Solve for x
    x = 31,204,966,127.64/153,014.80
  6. Step 6: Final answer
    x = 203,934.30

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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.