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Finding the Fourth Proportional to 100,361.81, 138,489.30 and 57,934.01

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Solution

The fourth proportional to 100,361.81, 138,489.30 and 57,934.01 is: 79,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,361.81 : 138,489.30 = 57,934.01 : x
  2. Step 2: Convert to fraction form
    100,361.81/138,489.30 = 57,934.01/x
  3. Step 3: Cross multiply
    100,361.81x = 138,489.30 × 57,934.01
  4. Step 4: Simplify right side
    100,361.81x = 8,023,240,837.32
  5. Step 5: Solve for x
    x = 8,023,240,837.32/100,361.81
  6. Step 6: Final answer
    x = 79,943.16

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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.