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Finding the Fourth Proportional to 72,148.66, 108,244.89 and 34,698.11

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Solution

The fourth proportional to 72,148.66, 108,244.89 and 34,698.11 is: 52,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,148.66 : 108,244.89 = 34,698.11 : x
  2. Step 2: Convert to fraction form
    72,148.66/108,244.89 = 34,698.11/x
  3. Step 3: Cross multiply
    72,148.66x = 108,244.89 × 34,698.11
  4. Step 4: Simplify right side
    72,148.66x = 3,755,892,558.93
  5. Step 5: Solve for x
    x = 3,755,892,558.93/72,148.66
  6. Step 6: Final answer
    x = 52,057.69

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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.