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Finding the Fourth Proportional to 71,703.12, 107,324.64 and 38,339.76

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Solution

The fourth proportional to 71,703.12, 107,324.64 and 38,339.76 is: 57,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.12 : 107,324.64 = 38,339.76 : x
  2. Step 2: Convert to fraction form
    71,703.12/107,324.64 = 38,339.76/x
  3. Step 3: Cross multiply
    71,703.12x = 107,324.64 × 38,339.76
  4. Step 4: Simplify right side
    71,703.12x = 4,114,800,939.69
  5. Step 5: Solve for x
    x = 4,114,800,939.69/71,703.12
  6. Step 6: Final answer
    x = 57,386.64

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1.5x scale

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.