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Finding the Fourth Proportional to 65,320.32, 90,142.92 and 38,462.88

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Solution

The fourth proportional to 65,320.32, 90,142.92 and 38,462.88 is: 53,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,320.32 : 90,142.92 = 38,462.88 : x
  2. Step 2: Convert to fraction form
    65,320.32/90,142.92 = 38,462.88/x
  3. Step 3: Cross multiply
    65,320.32x = 90,142.92 × 38,462.88
  4. Step 4: Simplify right side
    65,320.32x = 3,467,156,314.81
  5. Step 5: Solve for x
    x = 3,467,156,314.81/65,320.32
  6. Step 6: Final answer
    x = 53,079.29

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1.5x scale

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.