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Finding the Fourth Proportional to 137,429.40, 206,173.53 and 42,657.60

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Solution

The fourth proportional to 137,429.40, 206,173.53 and 42,657.60 is: 63,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429.40 : 206,173.53 = 42,657.60 : x
  2. Step 2: Convert to fraction form
    137,429.40/206,173.53 = 42,657.60/x
  3. Step 3: Cross multiply
    137,429.40x = 206,173.53 × 42,657.60
  4. Step 4: Simplify right side
    137,429.40x = 8,794,867,973.33
  5. Step 5: Solve for x
    x = 8,794,867,973.33/137,429.40
  6. Step 6: Final answer
    x = 63,995.53

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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.