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Finding the Fourth Proportional to 81,013.53, 121,404.46 and 59,497.48

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Solution

The fourth proportional to 81,013.53, 121,404.46 and 59,497.48 is: 89,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,013.53 : 121,404.46 = 59,497.48 : x
  2. Step 2: Convert to fraction form
    81,013.53/121,404.46 = 59,497.48/x
  3. Step 3: Cross multiply
    81,013.53x = 121,404.46 × 59,497.48
  4. Step 4: Simplify right side
    81,013.53x = 7,223,258,526.25
  5. Step 5: Solve for x
    x = 7,223,258,526.25/81,013.53
  6. Step 6: Final answer
    x = 89,161.14

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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.