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Finding the Fourth Proportional to 188,821.68, 260,543.40 and 108,234.40

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Solution

The fourth proportional to 188,821.68, 260,543.40 and 108,234.40 is: 149,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,821.68 : 260,543.40 = 108,234.40 : x
  2. Step 2: Convert to fraction form
    188,821.68/260,543.40 = 108,234.40/x
  3. Step 3: Cross multiply
    188,821.68x = 260,543.40 × 108,234.40
  4. Step 4: Simplify right side
    188,821.68x = 28,199,758,572.96
  5. Step 5: Solve for x
    x = 28,199,758,572.96/188,821.68
  6. Step 6: Final answer
    x = 149,345.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.