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Finding the Fourth Proportional to 261,417.73, 392,144.36 and 83,913.98

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Solution

The fourth proportional to 261,417.73, 392,144.36 and 83,913.98 is: 125,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,417.73 : 392,144.36 = 83,913.98 : x
  2. Step 2: Convert to fraction form
    261,417.73/392,144.36 = 83,913.98/x
  3. Step 3: Cross multiply
    261,417.73x = 392,144.36 × 83,913.98
  4. Step 4: Simplify right side
    261,417.73x = 32,906,392,309.89
  5. Step 5: Solve for x
    x = 32,906,392,309.89/261,417.73
  6. Step 6: Final answer
    x = 125,876.67

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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.