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Finding the Fourth Proportional to 162,003.80, 243,005.70 and 142,758.20

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Solution

The fourth proportional to 162,003.80, 243,005.70 and 142,758.20 is: 214,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,003.80 : 243,005.70 = 142,758.20 : x
  2. Step 2: Convert to fraction form
    162,003.80/243,005.70 = 142,758.20/x
  3. Step 3: Cross multiply
    162,003.80x = 243,005.70 × 142,758.20
  4. Step 4: Simplify right side
    162,003.80x = 34,691,056,321.74
  5. Step 5: Solve for x
    x = 34,691,056,321.74/162,003.80
  6. Step 6: Final answer
    x = 214,137.30

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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.