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Finding the Fourth Proportional to 146,398.62, 201,949.40 and 101,100.39

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Solution

The fourth proportional to 146,398.62, 201,949.40 and 101,100.39 is: 139,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,398.62 : 201,949.40 = 101,100.39 : x
  2. Step 2: Convert to fraction form
    146,398.62/201,949.40 = 101,100.39/x
  3. Step 3: Cross multiply
    146,398.62x = 201,949.40 × 101,100.39
  4. Step 4: Simplify right side
    146,398.62x = 20,417,163,100.27
  5. Step 5: Solve for x
    x = 20,417,163,100.27/146,398.62
  6. Step 6: Final answer
    x = 139,462.81

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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.