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Finding the Fourth Proportional to 78,934.50, 109,017.90 and 61,244.10

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Solution

The fourth proportional to 78,934.50, 109,017.90 and 61,244.10 is: 84,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,934.50 : 109,017.90 = 61,244.10 : x
  2. Step 2: Convert to fraction form
    78,934.50/109,017.90 = 61,244.10/x
  3. Step 3: Cross multiply
    78,934.50x = 109,017.90 × 61,244.10
  4. Step 4: Simplify right side
    78,934.50x = 6,676,703,169.39
  5. Step 5: Solve for x
    x = 6,676,703,169.39/78,934.50
  6. Step 6: Final answer
    x = 84,585.36

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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.