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Finding the Fourth Proportional to 82,398.39, 113,599.80 and 65,458.86

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Solution

The fourth proportional to 82,398.39, 113,599.80 and 65,458.86 is: 90,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398.39 : 113,599.80 = 65,458.86 : x
  2. Step 2: Convert to fraction form
    82,398.39/113,599.80 = 65,458.86/x
  3. Step 3: Cross multiply
    82,398.39x = 113,599.80 × 65,458.86
  4. Step 4: Simplify right side
    82,398.39x = 7,436,113,404.23
  5. Step 5: Solve for x
    x = 7,436,113,404.23/82,398.39
  6. Step 6: Final answer
    x = 90,245.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.