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Finding the Fourth Proportional to 113,818.60, 170,727.90 and 78,389.20

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Solution

The fourth proportional to 113,818.60, 170,727.90 and 78,389.20 is: 117,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,818.60 : 170,727.90 = 78,389.20 : x
  2. Step 2: Convert to fraction form
    113,818.60/170,727.90 = 78,389.20/x
  3. Step 3: Cross multiply
    113,818.60x = 170,727.90 × 78,389.20
  4. Step 4: Simplify right side
    113,818.60x = 13,383,223,498.68
  5. Step 5: Solve for x
    x = 13,383,223,498.68/113,818.60
  6. Step 6: Final answer
    x = 117,583.80

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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.