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Finding the Fourth Proportional to 153,201.22, 230,017.12 and 78,375.04

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Solution

The fourth proportional to 153,201.22, 230,017.12 and 78,375.04 is: 117,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,201.22 : 230,017.12 = 78,375.04 : x
  2. Step 2: Convert to fraction form
    153,201.22/230,017.12 = 78,375.04/x
  3. Step 3: Cross multiply
    153,201.22x = 230,017.12 × 78,375.04
  4. Step 4: Simplify right side
    153,201.22x = 18,027,600,980.68
  5. Step 5: Solve for x
    x = 18,027,600,980.68/153,201.22
  6. Step 6: Final answer
    x = 117,672.70

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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.