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Finding the Fourth Proportional to 219,097.92, 328,646.88 and 78,852.96

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Solution

The fourth proportional to 219,097.92, 328,646.88 and 78,852.96 is: 118,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.92 : 328,646.88 = 78,852.96 : x
  2. Step 2: Convert to fraction form
    219,097.92/328,646.88 = 78,852.96/x
  3. Step 3: Cross multiply
    219,097.92x = 328,646.88 × 78,852.96
  4. Step 4: Simplify right side
    219,097.92x = 25,914,779,282.76
  5. Step 5: Solve for x
    x = 25,914,779,282.76/219,097.92
  6. Step 6: Final answer
    x = 118,279.44

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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.