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Finding the Fourth Proportional to 69,182.72, 103,712.64 and 25,376

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Solution

The fourth proportional to 69,182.72, 103,712.64 and 25,376 is: 38,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,182.72 : 103,712.64 = 25,376 : x
  2. Step 2: Convert to fraction form
    69,182.72/103,712.64 = 25,376/x
  3. Step 3: Cross multiply
    69,182.72x = 103,712.64 × 25,376
  4. Step 4: Simplify right side
    69,182.72x = 2,631,811,952.64
  5. Step 5: Solve for x
    x = 2,631,811,952.64/69,182.72
  6. Step 6: Final answer
    x = 38,041.46

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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.