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Finding the Fourth Proportional to 65,836, 90,853.86 and 36,028

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Solution

The fourth proportional to 65,836, 90,853.86 and 36,028 is: 49,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,836 : 90,853.86 = 36,028 : x
  2. Step 2: Convert to fraction form
    65,836/90,853.86 = 36,028/x
  3. Step 3: Cross multiply
    65,836x = 90,853.86 × 36,028
  4. Step 4: Simplify right side
    65,836x = 3,273,282,868.08
  5. Step 5: Solve for x
    x = 3,273,282,868.08/65,836
  6. Step 6: Final answer
    x = 49,718.74

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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.