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Finding the Fourth Proportional to 119,589.60, 164,961.68 and 76,578.40

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Solution

The fourth proportional to 119,589.60, 164,961.68 and 76,578.40 is: 105,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589.60 : 164,961.68 = 76,578.40 : x
  2. Step 2: Convert to fraction form
    119,589.60/164,961.68 = 76,578.40/x
  3. Step 3: Cross multiply
    119,589.60x = 164,961.68 × 76,578.40
  4. Step 4: Simplify right side
    119,589.60x = 12,632,501,515.71
  5. Step 5: Solve for x
    x = 12,632,501,515.71/119,589.60
  6. Step 6: Final answer
    x = 105,632.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.