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Finding the Fourth Proportional to 261,580.29, 392,407.34 and 84,027.78

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Solution

The fourth proportional to 261,580.29, 392,407.34 and 84,027.78 is: 126,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,580.29 : 392,407.34 = 84,027.78 : x
  2. Step 2: Convert to fraction form
    261,580.29/392,407.34 = 84,027.78/x
  3. Step 3: Cross multiply
    261,580.29x = 392,407.34 × 84,027.78
  4. Step 4: Simplify right side
    261,580.29x = 32,973,117,215.77
  5. Step 5: Solve for x
    x = 32,973,117,215.77/261,580.29
  6. Step 6: Final answer
    x = 126,053.53

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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.