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Finding the Fourth Proportional to 78,338.21, 108,102.33 and 45,642.56

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Solution

The fourth proportional to 78,338.21, 108,102.33 and 45,642.56 is: 62,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,338.21 : 108,102.33 = 45,642.56 : x
  2. Step 2: Convert to fraction form
    78,338.21/108,102.33 = 45,642.56/x
  3. Step 3: Cross multiply
    78,338.21x = 108,102.33 × 45,642.56
  4. Step 4: Simplify right side
    78,338.21x = 4,934,066,542.65
  5. Step 5: Solve for x
    x = 4,934,066,542.65/78,338.21
  6. Step 6: Final answer
    x = 62,984.17

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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.