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Finding the Fourth Proportional to 97,315.49, 134,096.13 and 71,781.41

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Solution

The fourth proportional to 97,315.49, 134,096.13 and 71,781.41 is: 98,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315.49 : 134,096.13 = 71,781.41 : x
  2. Step 2: Convert to fraction form
    97,315.49/134,096.13 = 71,781.41/x
  3. Step 3: Cross multiply
    97,315.49x = 134,096.13 × 71,781.41
  4. Step 4: Simplify right side
    97,315.49x = 9,625,609,622.18
  5. Step 5: Solve for x
    x = 9,625,609,622.18/97,315.49
  6. Step 6: Final answer
    x = 98,911.38

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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.