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Finding the Fourth Proportional to 75,685.74, 113,541.03 and 61,768.86

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Solution

The fourth proportional to 75,685.74, 113,541.03 and 61,768.86 is: 92,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.74 : 113,541.03 = 61,768.86 : x
  2. Step 2: Convert to fraction form
    75,685.74/113,541.03 = 61,768.86/x
  3. Step 3: Cross multiply
    75,685.74x = 113,541.03 × 61,768.86
  4. Step 4: Simplify right side
    75,685.74x = 7,013,299,986.33
  5. Step 5: Solve for x
    x = 7,013,299,986.33/75,685.74
  6. Step 6: Final answer
    x = 92,663.43

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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.