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Finding the Fourth Proportional to 151,461.92, 209,041.62 and 115,583.78

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Solution

The fourth proportional to 151,461.92, 209,041.62 and 115,583.78 is: 159,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,461.92 : 209,041.62 = 115,583.78 : x
  2. Step 2: Convert to fraction form
    151,461.92/209,041.62 = 115,583.78/x
  3. Step 3: Cross multiply
    151,461.92x = 209,041.62 × 115,583.78
  4. Step 4: Simplify right side
    151,461.92x = 24,161,820,616.92
  5. Step 5: Solve for x
    x = 24,161,820,616.92/151,461.92
  6. Step 6: Final answer
    x = 159,524.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.