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Finding the Fourth Proportional to 83,214.63, 124,972.29 and 76,539.11

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Solution

The fourth proportional to 83,214.63, 124,972.29 and 76,539.11 is: 114,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.63 : 124,972.29 = 76,539.11 : x
  2. Step 2: Convert to fraction form
    83,214.63/124,972.29 = 76,539.11/x
  3. Step 3: Cross multiply
    83,214.63x = 124,972.29 × 76,539.11
  4. Step 4: Simplify right side
    83,214.63x = 9,565,267,226.40
  5. Step 5: Solve for x
    x = 9,565,267,226.40/83,214.63
  6. Step 6: Final answer
    x = 114,946.94

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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.