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Finding the Fourth Proportional to 162,003.60, 242,227.80 and 120,013.20

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Solution

The fourth proportional to 162,003.60, 242,227.80 and 120,013.20 is: 179,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,003.60 : 242,227.80 = 120,013.20 : x
  2. Step 2: Convert to fraction form
    162,003.60/242,227.80 = 120,013.20/x
  3. Step 3: Cross multiply
    162,003.60x = 242,227.80 × 120,013.20
  4. Step 4: Simplify right side
    162,003.60x = 29,070,533,406.96
  5. Step 5: Solve for x
    x = 29,070,533,406.96/162,003.60
  6. Step 6: Final answer
    x = 179,443.75

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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.