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Finding the Fourth Proportional to 65,179, 89,947.02 and 35,371

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Solution

The fourth proportional to 65,179, 89,947.02 and 35,371 is: 48,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,179 : 89,947.02 = 35,371 : x
  2. Step 2: Convert to fraction form
    65,179/89,947.02 = 35,371/x
  3. Step 3: Cross multiply
    65,179x = 89,947.02 × 35,371
  4. Step 4: Simplify right side
    65,179x = 3,181,516,044.42
  5. Step 5: Solve for x
    x = 3,181,516,044.42/65,179
  6. Step 6: Final answer
    x = 48,811.98

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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.