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Finding the Fourth Proportional to 65,853.17, 90,877.36 and 35,638.49

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Solution

The fourth proportional to 65,853.17, 90,877.36 and 35,638.49 is: 49,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,853.17 : 90,877.36 = 35,638.49 : x
  2. Step 2: Convert to fraction form
    65,853.17/90,877.36 = 35,638.49/x
  3. Step 3: Cross multiply
    65,853.17x = 90,877.36 × 35,638.49
  4. Step 4: Simplify right side
    65,853.17x = 3,238,731,885.59
  5. Step 5: Solve for x
    x = 3,238,731,885.59/65,853.17
  6. Step 6: Final answer
    x = 49,181.11

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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.