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Finding the Fourth Proportional to 65,857.88, 90,884.00 and 35,643.26

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Solution

The fourth proportional to 65,857.88, 90,884.00 and 35,643.26 is: 49,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.88 : 90,884.00 = 35,643.26 : x
  2. Step 2: Convert to fraction form
    65,857.88/90,884.00 = 35,643.26/x
  3. Step 3: Cross multiply
    65,857.88x = 90,884.00 × 35,643.26
  4. Step 4: Simplify right side
    65,857.88x = 3,239,402,358.16
  5. Step 5: Solve for x
    x = 3,239,402,358.16/65,857.88
  6. Step 6: Final answer
    x = 49,187.77

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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.