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Finding the Fourth Proportional to 78,316.44, 108,076.76 and 42,506.46

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Solution

The fourth proportional to 78,316.44, 108,076.76 and 42,506.46 is: 58,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.44 : 108,076.76 = 42,506.46 : x
  2. Step 2: Convert to fraction form
    78,316.44/108,076.76 = 42,506.46/x
  3. Step 3: Cross multiply
    78,316.44x = 108,076.76 × 42,506.46
  4. Step 4: Simplify right side
    78,316.44x = 4,593,960,475.87
  5. Step 5: Solve for x
    x = 4,593,960,475.87/78,316.44
  6. Step 6: Final answer
    x = 58,658.95

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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.