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Finding the Fourth Proportional to 65,277.72, 90,097.74 and 36,999

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Solution

The fourth proportional to 65,277.72, 90,097.74 and 36,999 is: 51,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,277.72 : 90,097.74 = 36,999 : x
  2. Step 2: Convert to fraction form
    65,277.72/90,097.74 = 36,999/x
  3. Step 3: Cross multiply
    65,277.72x = 90,097.74 × 36,999
  4. Step 4: Simplify right side
    65,277.72x = 3,333,526,282.26
  5. Step 5: Solve for x
    x = 3,333,526,282.26/65,277.72
  6. Step 6: Final answer
    x = 51,066.83

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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.