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Finding the Fourth Proportional to 218,866, 328,342.20 and 69,129.40

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Solution

The fourth proportional to 218,866, 328,342.20 and 69,129.40 is: 103,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,866 : 328,342.20 = 69,129.40 : x
  2. Step 2: Convert to fraction form
    218,866/328,342.20 = 69,129.40/x
  3. Step 3: Cross multiply
    218,866x = 328,342.20 × 69,129.40
  4. Step 4: Simplify right side
    218,866x = 22,698,099,280.68
  5. Step 5: Solve for x
    x = 22,698,099,280.68/218,866
  6. Step 6: Final answer
    x = 103,707.74

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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.