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Finding the Fourth Proportional to 188,638.76, 260,318.89 and 102,595.87

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Solution

The fourth proportional to 188,638.76, 260,318.89 and 102,595.87 is: 141,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,638.76 : 260,318.89 = 102,595.87 : x
  2. Step 2: Convert to fraction form
    188,638.76/260,318.89 = 102,595.87/x
  3. Step 3: Cross multiply
    188,638.76x = 260,318.89 × 102,595.87
  4. Step 4: Simplify right side
    188,638.76x = 26,707,642,996.98
  5. Step 5: Solve for x
    x = 26,707,642,996.98/188,638.76
  6. Step 6: Final answer
    x = 141,580.89

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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.