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Finding the Fourth Proportional to 146,031, 201,544.65 and 89,475.18

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Solution

The fourth proportional to 146,031, 201,544.65 and 89,475.18 is: 123,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,031 : 201,544.65 = 89,475.18 : x
  2. Step 2: Convert to fraction form
    146,031/201,544.65 = 89,475.18/x
  3. Step 3: Cross multiply
    146,031x = 201,544.65 × 89,475.18
  4. Step 4: Simplify right side
    146,031x = 18,033,243,836.79
  5. Step 5: Solve for x
    x = 18,033,243,836.79/146,031
  6. Step 6: Final answer
    x = 123,489.15

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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.