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Finding the Fourth Proportional to 153,560.80, 230,341.20 and 137,231.20

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Solution

The fourth proportional to 153,560.80, 230,341.20 and 137,231.20 is: 205,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,560.80 : 230,341.20 = 137,231.20 : x
  2. Step 2: Convert to fraction form
    153,560.80/230,341.20 = 137,231.20/x
  3. Step 3: Cross multiply
    153,560.80x = 230,341.20 × 137,231.20
  4. Step 4: Simplify right side
    153,560.80x = 31,609,999,285.44
  5. Step 5: Solve for x
    x = 31,609,999,285.44/153,560.80
  6. Step 6: Final answer
    x = 205,846.80

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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.