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Finding the Fourth Proportional to 65,780.50, 90,777.09 and 35,972.50

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Solution

The fourth proportional to 65,780.50, 90,777.09 and 35,972.50 is: 49,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.50 : 90,777.09 = 35,972.50 : x
  2. Step 2: Convert to fraction form
    65,780.50/90,777.09 = 35,972.50/x
  3. Step 3: Cross multiply
    65,780.50x = 90,777.09 × 35,972.50
  4. Step 4: Simplify right side
    65,780.50x = 3,265,478,870.03
  5. Step 5: Solve for x
    x = 3,265,478,870.03/65,780.50
  6. Step 6: Final answer
    x = 49,642.05

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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.