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Finding the Fourth Proportional to 65,398.50, 90,249.93 and 35,590.50

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Solution

The fourth proportional to 65,398.50, 90,249.93 and 35,590.50 is: 49,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398.50 : 90,249.93 = 35,590.50 : x
  2. Step 2: Convert to fraction form
    65,398.50/90,249.93 = 35,590.50/x
  3. Step 3: Cross multiply
    65,398.50x = 90,249.93 × 35,590.50
  4. Step 4: Simplify right side
    65,398.50x = 3,212,040,133.67
  5. Step 5: Solve for x
    x = 3,212,040,133.67/65,398.50
  6. Step 6: Final answer
    x = 49,114.89

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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.