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Finding the Fourth Proportional to 153,408.60, 230,112.90 and 142,003.80

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Solution

The fourth proportional to 153,408.60, 230,112.90 and 142,003.80 is: 213,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.60 : 230,112.90 = 142,003.80 : x
  2. Step 2: Convert to fraction form
    153,408.60/230,112.90 = 142,003.80/x
  3. Step 3: Cross multiply
    153,408.60x = 230,112.90 × 142,003.80
  4. Step 4: Simplify right side
    153,408.60x = 32,676,906,229.02
  5. Step 5: Solve for x
    x = 32,676,906,229.02/153,408.60
  6. Step 6: Final answer
    x = 213,005.70

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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.