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Finding the Fourth Proportional to 65,306.56, 90,122.64 and 35,498.56

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Solution

The fourth proportional to 65,306.56, 90,122.64 and 35,498.56 is: 48,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.56 : 90,122.64 = 35,498.56 : x
  2. Step 2: Convert to fraction form
    65,306.56/90,122.64 = 35,498.56/x
  3. Step 3: Cross multiply
    65,306.56x = 90,122.64 × 35,498.56
  4. Step 4: Simplify right side
    65,306.56x = 3,199,223,943.40
  5. Step 5: Solve for x
    x = 3,199,223,943.40/65,306.56
  6. Step 6: Final answer
    x = 48,987.79

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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.