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Finding the Fourth Proportional to 261,829.92, 392,746.56 and 111,944

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Solution

The fourth proportional to 261,829.92, 392,746.56 and 111,944 is: 167,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,829.92 : 392,746.56 = 111,944 : x
  2. Step 2: Convert to fraction form
    261,829.92/392,746.56 = 111,944/x
  3. Step 3: Cross multiply
    261,829.92x = 392,746.56 × 111,944
  4. Step 4: Simplify right side
    261,829.92x = 43,965,620,912.64
  5. Step 5: Solve for x
    x = 43,965,620,912.64/261,829.92
  6. Step 6: Final answer
    x = 167,916.72

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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.