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Finding the Fourth Proportional to 65,165.84, 89,923.48 and 38,309.48

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Solution

The fourth proportional to 65,165.84, 89,923.48 and 38,309.48 is: 52,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.84 : 89,923.48 = 38,309.48 : x
  2. Step 2: Convert to fraction form
    65,165.84/89,923.48 = 38,309.48/x
  3. Step 3: Cross multiply
    65,165.84x = 89,923.48 × 38,309.48
  4. Step 4: Simplify right side
    65,165.84x = 3,444,921,758.59
  5. Step 5: Solve for x
    x = 3,444,921,758.59/65,165.84
  6. Step 6: Final answer
    x = 52,863.92

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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.