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Finding the Fourth Proportional to 98,143.92, 147,211.02 and 31,587.30

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Solution

The fourth proportional to 98,143.92, 147,211.02 and 31,587.30 is: 47,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.92 : 147,211.02 = 31,587.30 : x
  2. Step 2: Convert to fraction form
    98,143.92/147,211.02 = 31,587.30/x
  3. Step 3: Cross multiply
    98,143.92x = 147,211.02 × 31,587.30
  4. Step 4: Simplify right side
    98,143.92x = 4,649,998,652.05
  5. Step 5: Solve for x
    x = 4,649,998,652.05/98,143.92
  6. Step 6: Final answer
    x = 47,379.39

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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.