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Finding the Fourth Proportional to 82,947.86, 124,421.86 and 20,618.36

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Solution

The fourth proportional to 82,947.86, 124,421.86 and 20,618.36 is: 30,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,947.86 : 124,421.86 = 20,618.36 : x
  2. Step 2: Convert to fraction form
    82,947.86/124,421.86 = 20,618.36/x
  3. Step 3: Cross multiply
    82,947.86x = 124,421.86 × 20,618.36
  4. Step 4: Simplify right side
    82,947.86x = 2,565,374,701.35
  5. Step 5: Solve for x
    x = 2,565,374,701.35/82,947.86
  6. Step 6: Final answer
    x = 30,927.56

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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.