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Finding the Fourth Proportional to 161,319.20, 241,978.80 and 102,221.60

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Solution

The fourth proportional to 161,319.20, 241,978.80 and 102,221.60 is: 153,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,319.20 : 241,978.80 = 102,221.60 : x
  2. Step 2: Convert to fraction form
    161,319.20/241,978.80 = 102,221.60/x
  3. Step 3: Cross multiply
    161,319.20x = 241,978.80 × 102,221.60
  4. Step 4: Simplify right side
    161,319.20x = 24,735,460,102.08
  5. Step 5: Solve for x
    x = 24,735,460,102.08/161,319.20
  6. Step 6: Final answer
    x = 153,332.40

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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.