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Finding the Fourth Proportional to 65,248, 90,049.92 and 38,752

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Solution

The fourth proportional to 65,248, 90,049.92 and 38,752 is: 53,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248 : 90,049.92 = 38,752 : x
  2. Step 2: Convert to fraction form
    65,248/90,049.92 = 38,752/x
  3. Step 3: Cross multiply
    65,248x = 90,049.92 × 38,752
  4. Step 4: Simplify right side
    65,248x = 3,489,614,499.84
  5. Step 5: Solve for x
    x = 3,489,614,499.84/65,248
  6. Step 6: Final answer
    x = 53,482.32

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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.