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Finding the Fourth Proportional to 153,375.60, 230,063.40 and 142,316.40

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Solution

The fourth proportional to 153,375.60, 230,063.40 and 142,316.40 is: 213,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,375.60 : 230,063.40 = 142,316.40 : x
  2. Step 2: Convert to fraction form
    153,375.60/230,063.40 = 142,316.40/x
  3. Step 3: Cross multiply
    153,375.60x = 230,063.40 × 142,316.40
  4. Step 4: Simplify right side
    153,375.60x = 32,741,794,859.76
  5. Step 5: Solve for x
    x = 32,741,794,859.76/153,375.60
  6. Step 6: Final answer
    x = 213,474.60

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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.