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Finding the Fourth Proportional to 65,208.70, 97,877.85 and 31,966.30

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Solution

The fourth proportional to 65,208.70, 97,877.85 and 31,966.30 is: 47,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.70 : 97,877.85 = 31,966.30 : x
  2. Step 2: Convert to fraction form
    65,208.70/97,877.85 = 31,966.30/x
  3. Step 3: Cross multiply
    65,208.70x = 97,877.85 × 31,966.30
  4. Step 4: Simplify right side
    65,208.70x = 3,128,792,716.46
  5. Step 5: Solve for x
    x = 3,128,792,716.46/65,208.70
  6. Step 6: Final answer
    x = 47,981.22

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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.