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Finding the Fourth Proportional to 219,210.12, 328,617.72 and 78,870

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Solution

The fourth proportional to 219,210.12, 328,617.72 and 78,870 is: 118,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,210.12 : 328,617.72 = 78,870 : x
  2. Step 2: Convert to fraction form
    219,210.12/328,617.72 = 78,870/x
  3. Step 3: Cross multiply
    219,210.12x = 328,617.72 × 78,870
  4. Step 4: Simplify right side
    219,210.12x = 25,918,079,576.40
  5. Step 5: Solve for x
    x = 25,918,079,576.40/219,210.12
  6. Step 6: Final answer
    x = 118,233.96

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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.