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Finding the Fourth Proportional to 65,272.50, 97,895.03 and 31,959

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Solution

The fourth proportional to 65,272.50, 97,895.03 and 31,959 is: 47,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.50 : 97,895.03 = 31,959 : x
  2. Step 2: Convert to fraction form
    65,272.50/97,895.03 = 31,959/x
  3. Step 3: Cross multiply
    65,272.50x = 97,895.03 × 31,959
  4. Step 4: Simplify right side
    65,272.50x = 3,128,627,103.98
  5. Step 5: Solve for x
    x = 3,128,627,103.98/65,272.50
  6. Step 6: Final answer
    x = 47,931.78

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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.