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Finding the Fourth Proportional to 67,335, 101,002.50 and 25,782

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Solution

The fourth proportional to 67,335, 101,002.50 and 25,782 is: 38,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,335 : 101,002.50 = 25,782 : x
  2. Step 2: Convert to fraction form
    67,335/101,002.50 = 25,782/x
  3. Step 3: Cross multiply
    67,335x = 101,002.50 × 25,782
  4. Step 4: Simplify right side
    67,335x = 2,604,046,455
  5. Step 5: Solve for x
    x = 2,604,046,455/67,335
  6. Step 6: Final answer
    x = 38,673

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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.