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Finding the Fourth Proportional to 65,274.75, 97,898.40 and 31,961.25

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Solution

The fourth proportional to 65,274.75, 97,898.40 and 31,961.25 is: 47,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.75 : 97,898.40 = 31,961.25 : x
  2. Step 2: Convert to fraction form
    65,274.75/97,898.40 = 31,961.25/x
  3. Step 3: Cross multiply
    65,274.75x = 97,898.40 × 31,961.25
  4. Step 4: Simplify right side
    65,274.75x = 3,128,955,237
  5. Step 5: Solve for x
    x = 3,128,955,237/65,274.75
  6. Step 6: Final answer
    x = 47,935.15

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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.