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Finding the Fourth Proportional to 65,677.50, 90,634.95 and 35,869.50

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Solution

The fourth proportional to 65,677.50, 90,634.95 and 35,869.50 is: 49,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.50 : 90,634.95 = 35,869.50 : x
  2. Step 2: Convert to fraction form
    65,677.50/90,634.95 = 35,869.50/x
  3. Step 3: Cross multiply
    65,677.50x = 90,634.95 × 35,869.50
  4. Step 4: Simplify right side
    65,677.50x = 3,251,030,339.03
  5. Step 5: Solve for x
    x = 3,251,030,339.03/65,677.50
  6. Step 6: Final answer
    x = 49,499.91

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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.