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Finding the Fourth Proportional to 77,164.79, 115,751.71 and 29,780.14

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Solution

The fourth proportional to 77,164.79, 115,751.71 and 29,780.14 is: 44,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.79 : 115,751.71 = 29,780.14 : x
  2. Step 2: Convert to fraction form
    77,164.79/115,751.71 = 29,780.14/x
  3. Step 3: Cross multiply
    77,164.79x = 115,751.71 × 29,780.14
  4. Step 4: Simplify right side
    77,164.79x = 3,447,102,129.04
  5. Step 5: Solve for x
    x = 3,447,102,129.04/77,164.79
  6. Step 6: Final answer
    x = 44,671.96

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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.