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Finding the Fourth Proportional to 75,011.76, 112,388.04 and 39,844.80

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Solution

The fourth proportional to 75,011.76, 112,388.04 and 39,844.80 is: 59,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,011.76 : 112,388.04 = 39,844.80 : x
  2. Step 2: Convert to fraction form
    75,011.76/112,388.04 = 39,844.80/x
  3. Step 3: Cross multiply
    75,011.76x = 112,388.04 × 39,844.80
  4. Step 4: Simplify right side
    75,011.76x = 4,478,078,976.19
  5. Step 5: Solve for x
    x = 4,478,078,976.19/75,011.76
  6. Step 6: Final answer
    x = 59,698.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.