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Finding the Fourth Proportional to 65,167.78, 89,931.48 and 35,359.78

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Solution

The fourth proportional to 65,167.78, 89,931.48 and 35,359.78 is: 48,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.78 : 89,931.48 = 35,359.78 : x
  2. Step 2: Convert to fraction form
    65,167.78/89,931.48 = 35,359.78/x
  3. Step 3: Cross multiply
    65,167.78x = 89,931.48 × 35,359.78
  4. Step 4: Simplify right side
    65,167.78x = 3,179,957,347.87
  5. Step 5: Solve for x
    x = 3,179,957,347.87/65,167.78
  6. Step 6: Final answer
    x = 48,796.47

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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.