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Finding the Fourth Proportional to 218,776.62, 328,039.65 and 130,092.06

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Solution

The fourth proportional to 218,776.62, 328,039.65 and 130,092.06 is: 195,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776.62 : 328,039.65 = 130,092.06 : x
  2. Step 2: Convert to fraction form
    218,776.62/328,039.65 = 130,092.06/x
  3. Step 3: Cross multiply
    218,776.62x = 328,039.65 × 130,092.06
  4. Step 4: Simplify right side
    218,776.62x = 42,675,353,830.18
  5. Step 5: Solve for x
    x = 42,675,353,830.18/218,776.62
  6. Step 6: Final answer
    x = 195,063.59

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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.