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Finding the Fourth Proportional to 65,381.28, 90,242.28 and 37,104

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Solution

The fourth proportional to 65,381.28, 90,242.28 and 37,104 is: 51,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.28 : 90,242.28 = 37,104 : x
  2. Step 2: Convert to fraction form
    65,381.28/90,242.28 = 37,104/x
  3. Step 3: Cross multiply
    65,381.28x = 90,242.28 × 37,104
  4. Step 4: Simplify right side
    65,381.28x = 3,348,349,557.12
  5. Step 5: Solve for x
    x = 3,348,349,557.12/65,381.28
  6. Step 6: Final answer
    x = 51,212.66

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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.