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Finding the Fourth Proportional to 262,287.96, 361,988.10 and 149,127.72

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Solution

The fourth proportional to 262,287.96, 361,988.10 and 149,127.72 is: 205,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,287.96 : 361,988.10 = 149,127.72 : x
  2. Step 2: Convert to fraction form
    262,287.96/361,988.10 = 149,127.72/x
  3. Step 3: Cross multiply
    262,287.96x = 361,988.10 × 149,127.72
  4. Step 4: Simplify right side
    262,287.96x = 53,982,460,020.13
  5. Step 5: Solve for x
    x = 53,982,460,020.13/262,287.96
  6. Step 6: Final answer
    x = 205,813.72

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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.