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Finding the Fourth Proportional to 137,202.60, 205,688.70 and 71,538.60

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Solution

The fourth proportional to 137,202.60, 205,688.70 and 71,538.60 is: 107,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.60 : 205,688.70 = 71,538.60 : x
  2. Step 2: Convert to fraction form
    137,202.60/205,688.70 = 71,538.60/x
  3. Step 3: Cross multiply
    137,202.60x = 205,688.70 × 71,538.60
  4. Step 4: Simplify right side
    137,202.60x = 14,714,681,633.82
  5. Step 5: Solve for x
    x = 14,714,681,633.82/137,202.60
  6. Step 6: Final answer
    x = 107,247.83

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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.