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Finding the Fourth Proportional to 137,162.40, 205,707.60 and 58,236

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Solution

The fourth proportional to 137,162.40, 205,707.60 and 58,236 is: 87,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,162.40 : 205,707.60 = 58,236 : x
  2. Step 2: Convert to fraction form
    137,162.40/205,707.60 = 58,236/x
  3. Step 3: Cross multiply
    137,162.40x = 205,707.60 × 58,236
  4. Step 4: Simplify right side
    137,162.40x = 11,979,587,793.60
  5. Step 5: Solve for x
    x = 11,979,587,793.60/137,162.40
  6. Step 6: Final answer
    x = 87,338.72

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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.