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Finding the Fourth Proportional to 75,309.76, 103,916.66 and 45,087.84

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Solution

The fourth proportional to 75,309.76, 103,916.66 and 45,087.84 is: 62,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.76 : 103,916.66 = 45,087.84 : x
  2. Step 2: Convert to fraction form
    75,309.76/103,916.66 = 45,087.84/x
  3. Step 3: Cross multiply
    75,309.76x = 103,916.66 × 45,087.84
  4. Step 4: Simplify right side
    75,309.76x = 4,685,377,739.41
  5. Step 5: Solve for x
    x = 4,685,377,739.41/75,309.76
  6. Step 6: Final answer
    x = 62,214.75

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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.