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Finding the Fourth Proportional to 65,711.09, 90,681.22 and 35,496.40

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Solution

The fourth proportional to 65,711.09, 90,681.22 and 35,496.40 is: 48,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.09 : 90,681.22 = 35,496.40 : x
  2. Step 2: Convert to fraction form
    65,711.09/90,681.22 = 35,496.40/x
  3. Step 3: Cross multiply
    65,711.09x = 90,681.22 × 35,496.40
  4. Step 4: Simplify right side
    65,711.09x = 3,218,857,100.34
  5. Step 5: Solve for x
    x = 3,218,857,100.34/65,711.09
  6. Step 6: Final answer
    x = 48,984.99

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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.