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Finding the Fourth Proportional to 113,818.80, 170,728.20 and 78,389.40

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Solution

The fourth proportional to 113,818.80, 170,728.20 and 78,389.40 is: 117,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,818.80 : 170,728.20 = 78,389.40 : x
  2. Step 2: Convert to fraction form
    113,818.80/170,728.20 = 78,389.40/x
  3. Step 3: Cross multiply
    113,818.80x = 170,728.20 × 78,389.40
  4. Step 4: Simplify right side
    113,818.80x = 13,383,281,161.08
  5. Step 5: Solve for x
    x = 13,383,281,161.08/113,818.80
  6. Step 6: Final answer
    x = 117,584.10

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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.