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Finding the Fourth Proportional to 162,053.20, 243,079.80 and 135,809.20

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Solution

The fourth proportional to 162,053.20, 243,079.80 and 135,809.20 is: 203,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,053.20 : 243,079.80 = 135,809.20 : x
  2. Step 2: Convert to fraction form
    162,053.20/243,079.80 = 135,809.20/x
  3. Step 3: Cross multiply
    162,053.20x = 243,079.80 × 135,809.20
  4. Step 4: Simplify right side
    162,053.20x = 33,012,473,174.16
  5. Step 5: Solve for x
    x = 33,012,473,174.16/162,053.20
  6. Step 6: Final answer
    x = 203,713.80

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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.