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Finding the Fourth Proportional to 283,356, 425,034.16 and 86,364

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Solution

The fourth proportional to 283,356, 425,034.16 and 86,364 is: 129,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,356 : 425,034.16 = 86,364 : x
  2. Step 2: Convert to fraction form
    283,356/425,034.16 = 86,364/x
  3. Step 3: Cross multiply
    283,356x = 425,034.16 × 86,364
  4. Step 4: Simplify right side
    283,356x = 36,707,650,194.24
  5. Step 5: Solve for x
    x = 36,707,650,194.24/283,356
  6. Step 6: Final answer
    x = 129,546.05

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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.