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Finding the Fourth Proportional to 281,086.92, 387,899.82 and 153,762.48

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Solution

The fourth proportional to 281,086.92, 387,899.82 and 153,762.48 is: 212,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,086.92 : 387,899.82 = 153,762.48 : x
  2. Step 2: Convert to fraction form
    281,086.92/387,899.82 = 153,762.48/x
  3. Step 3: Cross multiply
    281,086.92x = 387,899.82 × 153,762.48
  4. Step 4: Simplify right side
    281,086.92x = 59,644,438,314.75
  5. Step 5: Solve for x
    x = 59,644,438,314.75/281,086.92
  6. Step 6: Final answer
    x = 212,192.15

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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.