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Finding the Fourth Proportional to 65,246, 90,047.16 and 38,750

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Solution

The fourth proportional to 65,246, 90,047.16 and 38,750 is: 53,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246 : 90,047.16 = 38,750 : x
  2. Step 2: Convert to fraction form
    65,246/90,047.16 = 38,750/x
  3. Step 3: Cross multiply
    65,246x = 90,047.16 × 38,750
  4. Step 4: Simplify right side
    65,246x = 3,489,327,450
  5. Step 5: Solve for x
    x = 3,489,327,450/65,246
  6. Step 6: Final answer
    x = 53,479.56

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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.