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Finding the Fourth Proportional to 219,068.82, 328,520.61 and 76,870.08

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Solution

The fourth proportional to 219,068.82, 328,520.61 and 76,870.08 is: 115,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,068.82 : 328,520.61 = 76,870.08 : x
  2. Step 2: Convert to fraction form
    219,068.82/328,520.61 = 76,870.08/x
  3. Step 3: Cross multiply
    219,068.82x = 328,520.61 × 76,870.08
  4. Step 4: Simplify right side
    219,068.82x = 25,253,405,572.35
  5. Step 5: Solve for x
    x = 25,253,405,572.35/219,068.82
  6. Step 6: Final answer
    x = 115,276.13

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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.