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Finding the Fourth Proportional to 281,129.78, 387,920.85 and 167,928.50

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Solution

The fourth proportional to 281,129.78, 387,920.85 and 167,928.50 is: 231,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,129.78 : 387,920.85 = 167,928.50 : x
  2. Step 2: Convert to fraction form
    281,129.78/387,920.85 = 167,928.50/x
  3. Step 3: Cross multiply
    281,129.78x = 387,920.85 × 167,928.50
  4. Step 4: Simplify right side
    281,129.78x = 65,142,966,459.23
  5. Step 5: Solve for x
    x = 65,142,966,459.23/281,129.78
  6. Step 6: Final answer
    x = 231,718.48

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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.