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Finding the Fourth Proportional to 78,986.88, 109,013.76 and 45,446.40

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Solution

The fourth proportional to 78,986.88, 109,013.76 and 45,446.40 is: 62,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986.88 : 109,013.76 = 45,446.40 : x
  2. Step 2: Convert to fraction form
    78,986.88/109,013.76 = 45,446.40/x
  3. Step 3: Cross multiply
    78,986.88x = 109,013.76 × 45,446.40
  4. Step 4: Simplify right side
    78,986.88x = 4,954,282,942.46
  5. Step 5: Solve for x
    x = 4,954,282,942.46/78,986.88
  6. Step 6: Final answer
    x = 62,722.86

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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.