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Finding the Fourth Proportional to 261,434.64, 391,960.80 and 83,840.56

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Solution

The fourth proportional to 261,434.64, 391,960.80 and 83,840.56 is: 125,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,434.64 : 391,960.80 = 83,840.56 : x
  2. Step 2: Convert to fraction form
    261,434.64/391,960.80 = 83,840.56/x
  3. Step 3: Cross multiply
    261,434.64x = 391,960.80 × 83,840.56
  4. Step 4: Simplify right side
    261,434.64x = 32,862,212,970.05
  5. Step 5: Solve for x
    x = 32,862,212,970.05/261,434.64
  6. Step 6: Final answer
    x = 125,699.54

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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.