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Finding the Fourth Proportional to 146,378.31, 201,924.15 and 89,035.17

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Solution

The fourth proportional to 146,378.31, 201,924.15 and 89,035.17 is: 122,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,378.31 : 201,924.15 = 89,035.17 : x
  2. Step 2: Convert to fraction form
    146,378.31/201,924.15 = 89,035.17/x
  3. Step 3: Cross multiply
    146,378.31x = 201,924.15 × 89,035.17
  4. Step 4: Simplify right side
    146,378.31x = 17,978,351,022.36
  5. Step 5: Solve for x
    x = 17,978,351,022.36/146,378.31
  6. Step 6: Final answer
    x = 122,821.14

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1.5x scale

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.