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Finding the Fourth Proportional to 76,905, 115,356.78 and 24,314.49

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Solution

The fourth proportional to 76,905, 115,356.78 and 24,314.49 is: 36,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,905 : 115,356.78 = 24,314.49 : x
  2. Step 2: Convert to fraction form
    76,905/115,356.78 = 24,314.49/x
  3. Step 3: Cross multiply
    76,905x = 115,356.78 × 24,314.49
  4. Step 4: Simplify right side
    76,905x = 2,804,841,273.74
  5. Step 5: Solve for x
    x = 2,804,841,273.74/76,905
  6. Step 6: Final answer
    x = 36,471.51

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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.