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Finding the Fourth Proportional to 82,117.23, 122,929.80 and 48,820.15

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Solution

The fourth proportional to 82,117.23, 122,929.80 and 48,820.15 is: 73,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.23 : 122,929.80 = 48,820.15 : x
  2. Step 2: Convert to fraction form
    82,117.23/122,929.80 = 48,820.15/x
  3. Step 3: Cross multiply
    82,117.23x = 122,929.80 × 48,820.15
  4. Step 4: Simplify right side
    82,117.23x = 6,001,451,275.47
  5. Step 5: Solve for x
    x = 6,001,451,275.47/82,117.23
  6. Step 6: Final answer
    x = 73,083.95

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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.