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Finding the Fourth Proportional to 180,678.20, 269,672.54 and 156,554.72

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Solution

The fourth proportional to 180,678.20, 269,672.54 and 156,554.72 is: 233,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.20 : 269,672.54 = 156,554.72 : x
  2. Step 2: Convert to fraction form
    180,678.20/269,672.54 = 156,554.72/x
  3. Step 3: Cross multiply
    180,678.20x = 269,672.54 × 156,554.72
  4. Step 4: Simplify right side
    180,678.20x = 42,218,508,991.39
  5. Step 5: Solve for x
    x = 42,218,508,991.39/180,678.20
  6. Step 6: Final answer
    x = 233,666.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.