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Finding the Fourth Proportional to 261,765.24, 392,564.64 and 84,231

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Solution

The fourth proportional to 261,765.24, 392,564.64 and 84,231 is: 126,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,765.24 : 392,564.64 = 84,231 : x
  2. Step 2: Convert to fraction form
    261,765.24/392,564.64 = 84,231/x
  3. Step 3: Cross multiply
    261,765.24x = 392,564.64 × 84,231
  4. Step 4: Simplify right side
    261,765.24x = 33,066,112,191.84
  5. Step 5: Solve for x
    x = 33,066,112,191.84/261,765.24
  6. Step 6: Final answer
    x = 126,319.72

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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.