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Finding the Fourth Proportional to 100,133.78, 138,219.18 and 57,709.22

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Solution

The fourth proportional to 100,133.78, 138,219.18 and 57,709.22 is: 79,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,133.78 : 138,219.18 = 57,709.22 : x
  2. Step 2: Convert to fraction form
    100,133.78/138,219.18 = 57,709.22/x
  3. Step 3: Cross multiply
    100,133.78x = 138,219.18 × 57,709.22
  4. Step 4: Simplify right side
    100,133.78x = 7,976,521,066.84
  5. Step 5: Solve for x
    x = 7,976,521,066.84/100,133.78
  6. Step 6: Final answer
    x = 79,658.64

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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.