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Finding the Fourth Proportional to 78,386.48, 108,174.12 and 42,576.80

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Solution

The fourth proportional to 78,386.48, 108,174.12 and 42,576.80 is: 58,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386.48 : 108,174.12 = 42,576.80 : x
  2. Step 2: Convert to fraction form
    78,386.48/108,174.12 = 42,576.80/x
  3. Step 3: Cross multiply
    78,386.48x = 108,174.12 × 42,576.80
  4. Step 4: Simplify right side
    78,386.48x = 4,605,707,872.42
  5. Step 5: Solve for x
    x = 4,605,707,872.42/78,386.48
  6. Step 6: Final answer
    x = 58,756.41

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1.5x scale

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.