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Finding the Fourth Proportional to 218,916.30, 328,374.45 and 78,689.10

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Solution

The fourth proportional to 218,916.30, 328,374.45 and 78,689.10 is: 118,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916.30 : 328,374.45 = 78,689.10 : x
  2. Step 2: Convert to fraction form
    218,916.30/328,374.45 = 78,689.10/x
  3. Step 3: Cross multiply
    218,916.30x = 328,374.45 × 78,689.10
  4. Step 4: Simplify right side
    218,916.30x = 25,839,489,933.50
  5. Step 5: Solve for x
    x = 25,839,489,933.50/218,916.30
  6. Step 6: Final answer
    x = 118,033.65

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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.