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Finding the Fourth Proportional to 75,698.88, 104,469.12 and 42,164.88

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Solution

The fourth proportional to 75,698.88, 104,469.12 and 42,164.88 is: 58,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,698.88 : 104,469.12 = 42,164.88 : x
  2. Step 2: Convert to fraction form
    75,698.88/104,469.12 = 42,164.88/x
  3. Step 3: Cross multiply
    75,698.88x = 104,469.12 × 42,164.88
  4. Step 4: Simplify right side
    75,698.88x = 4,404,927,908.51
  5. Step 5: Solve for x
    x = 4,404,927,908.51/75,698.88
  6. Step 6: Final answer
    x = 58,190.13

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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.