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Finding the Fourth Proportional to 65,858.48, 90,884 and 35,643.14

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Solution

The fourth proportional to 65,858.48, 90,884 and 35,643.14 is: 49,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,858.48 : 90,884 = 35,643.14 : x
  2. Step 2: Convert to fraction form
    65,858.48/90,884 = 35,643.14/x
  3. Step 3: Cross multiply
    65,858.48x = 90,884 × 35,643.14
  4. Step 4: Simplify right side
    65,858.48x = 3,239,391,135.76
  5. Step 5: Solve for x
    x = 3,239,391,135.76/65,858.48
  6. Step 6: Final answer
    x = 49,187.15

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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.