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Finding the Fourth Proportional to 100,376.10, 138,512.43 and 57,357.81

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Solution

The fourth proportional to 100,376.10, 138,512.43 and 57,357.81 is: 79,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,376.10 : 138,512.43 = 57,357.81 : x
  2. Step 2: Convert to fraction form
    100,376.10/138,512.43 = 57,357.81/x
  3. Step 3: Cross multiply
    100,376.10x = 138,512.43 × 57,357.81
  4. Step 4: Simplify right side
    100,376.10x = 7,944,769,642.58
  5. Step 5: Solve for x
    x = 7,944,769,642.58/100,376.10
  6. Step 6: Final answer
    x = 79,150.01

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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.