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Finding the Fourth Proportional to 65,275.29, 97,913.79 and 20,902.05

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Solution

The fourth proportional to 65,275.29, 97,913.79 and 20,902.05 is: 31,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.29 : 97,913.79 = 20,902.05 : x
  2. Step 2: Convert to fraction form
    65,275.29/97,913.79 = 20,902.05/x
  3. Step 3: Cross multiply
    65,275.29x = 97,913.79 × 20,902.05
  4. Step 4: Simplify right side
    65,275.29x = 2,046,598,934.27
  5. Step 5: Solve for x
    x = 2,046,598,934.27/65,275.29
  6. Step 6: Final answer
    x = 31,353.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.