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Finding the Fourth Proportional to 109,578.70, 164,432.85 and 72,246.70

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Solution

The fourth proportional to 109,578.70, 164,432.85 and 72,246.70 is: 108,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,578.70 : 164,432.85 = 72,246.70 : x
  2. Step 2: Convert to fraction form
    109,578.70/164,432.85 = 72,246.70/x
  3. Step 3: Cross multiply
    109,578.70x = 164,432.85 × 72,246.70
  4. Step 4: Simplify right side
    109,578.70x = 11,879,730,784.10
  5. Step 5: Solve for x
    x = 11,879,730,784.10/109,578.70
  6. Step 6: Final answer
    x = 108,412.77

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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.