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Finding the Fourth Proportional to 218,916.98, 328,433.97 and 78,676.82

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Solution

The fourth proportional to 218,916.98, 328,433.97 and 78,676.82 is: 118,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916.98 : 328,433.97 = 78,676.82 : x
  2. Step 2: Convert to fraction form
    218,916.98/328,433.97 = 78,676.82/x
  3. Step 3: Cross multiply
    218,916.98x = 328,433.97 × 78,676.82
  4. Step 4: Simplify right side
    218,916.98x = 25,840,140,339.58
  5. Step 5: Solve for x
    x = 25,840,140,339.58/218,916.98
  6. Step 6: Final answer
    x = 118,036.25

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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.