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Finding the Fourth Proportional to 65,278.98, 90,084.89 and 36,984.60

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Solution

The fourth proportional to 65,278.98, 90,084.89 and 36,984.60 is: 51,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.98 : 90,084.89 = 36,984.60 : x
  2. Step 2: Convert to fraction form
    65,278.98/90,084.89 = 36,984.60/x
  3. Step 3: Cross multiply
    65,278.98x = 90,084.89 × 36,984.60
  4. Step 4: Simplify right side
    65,278.98x = 3,331,753,715.16
  5. Step 5: Solve for x
    x = 3,331,753,715.16/65,278.98
  6. Step 6: Final answer
    x = 51,038.69

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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.