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Finding the Fourth Proportional to 161,713.20, 243,007.20 and 142,467.60

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Solution

The fourth proportional to 161,713.20, 243,007.20 and 142,467.60 is: 214,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,713.20 : 243,007.20 = 142,467.60 : x
  2. Step 2: Convert to fraction form
    161,713.20/243,007.20 = 142,467.60/x
  3. Step 3: Cross multiply
    161,713.20x = 243,007.20 × 142,467.60
  4. Step 4: Simplify right side
    161,713.20x = 34,620,652,566.72
  5. Step 5: Solve for x
    x = 34,620,652,566.72/161,713.20
  6. Step 6: Final answer
    x = 214,086.74

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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.