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Finding the Fourth Proportional to 261,916, 392,883.72 and 84,425.56

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Solution

The fourth proportional to 261,916, 392,883.72 and 84,425.56 is: 126,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,916 : 392,883.72 = 84,425.56 : x
  2. Step 2: Convert to fraction form
    261,916/392,883.72 = 84,425.56/x
  3. Step 3: Cross multiply
    261,916x = 392,883.72 × 84,425.56
  4. Step 4: Simplify right side
    261,916x = 33,169,428,075.88
  5. Step 5: Solve for x
    x = 33,169,428,075.88/261,916
  6. Step 6: Final answer
    x = 126,641.47

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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.