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Finding the Fourth Proportional to 65,827, 90,841.32 and 36,019

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Solution

The fourth proportional to 65,827, 90,841.32 and 36,019 is: 49,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827 : 90,841.32 = 36,019 : x
  2. Step 2: Convert to fraction form
    65,827/90,841.32 = 36,019/x
  3. Step 3: Cross multiply
    65,827x = 90,841.32 × 36,019
  4. Step 4: Simplify right side
    65,827x = 3,272,013,505.08
  5. Step 5: Solve for x
    x = 3,272,013,505.08/65,827
  6. Step 6: Final answer
    x = 49,706.25

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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.