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Finding the Fourth Proportional to 78,381.30, 108,178.42 and 44,391.54

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Solution

The fourth proportional to 78,381.30, 108,178.42 and 44,391.54 is: 61,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.30 : 108,178.42 = 44,391.54 : x
  2. Step 2: Convert to fraction form
    78,381.30/108,178.42 = 44,391.54/x
  3. Step 3: Cross multiply
    78,381.30x = 108,178.42 × 44,391.54
  4. Step 4: Simplify right side
    78,381.30x = 4,802,206,658.57
  5. Step 5: Solve for x
    x = 4,802,206,658.57/78,381.30
  6. Step 6: Final answer
    x = 61,267.25

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1.5x scale

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.