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Finding the Fourth Proportional to 115,198, 158,981.40 and 64,897

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Solution

The fourth proportional to 115,198, 158,981.40 and 64,897 is: 89,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198 : 158,981.40 = 64,897 : x
  2. Step 2: Convert to fraction form
    115,198/158,981.40 = 64,897/x
  3. Step 3: Cross multiply
    115,198x = 158,981.40 × 64,897
  4. Step 4: Simplify right side
    115,198x = 10,317,415,915.80
  5. Step 5: Solve for x
    x = 10,317,415,915.80/115,198
  6. Step 6: Final answer
    x = 89,562.46

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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.