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Finding the Fourth Proportional to 113,714.85, 170,736.30 and 85,830.60

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Solution

The fourth proportional to 113,714.85, 170,736.30 and 85,830.60 is: 128,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714.85 : 170,736.30 = 85,830.60 : x
  2. Step 2: Convert to fraction form
    113,714.85/170,736.30 = 85,830.60/x
  3. Step 3: Cross multiply
    113,714.85x = 170,736.30 × 85,830.60
  4. Step 4: Simplify right side
    113,714.85x = 14,654,399,070.78
  5. Step 5: Solve for x
    x = 14,654,399,070.78/113,714.85
  6. Step 6: Final answer
    x = 128,869.70

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1.5x scale

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.