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Finding the Fourth Proportional to 65,780, 90,776.40 and 35,972

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Solution

The fourth proportional to 65,780, 90,776.40 and 35,972 is: 49,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780 : 90,776.40 = 35,972 : x
  2. Step 2: Convert to fraction form
    65,780/90,776.40 = 35,972/x
  3. Step 3: Cross multiply
    65,780x = 90,776.40 × 35,972
  4. Step 4: Simplify right side
    65,780x = 3,265,408,660.80
  5. Step 5: Solve for x
    x = 3,265,408,660.80/65,780
  6. Step 6: Final answer
    x = 49,641.36

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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.