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Finding the Fourth Proportional to 83,421.95, 124,842.03 and 68,253.77

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Solution

The fourth proportional to 83,421.95, 124,842.03 and 68,253.77 is: 102,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.95 : 124,842.03 = 68,253.77 : x
  2. Step 2: Convert to fraction form
    83,421.95/124,842.03 = 68,253.77/x
  3. Step 3: Cross multiply
    83,421.95x = 124,842.03 × 68,253.77
  4. Step 4: Simplify right side
    83,421.95x = 8,520,938,577.74
  5. Step 5: Solve for x
    x = 8,520,938,577.74/83,421.95
  6. Step 6: Final answer
    x = 102,142.65

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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.