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Finding the Fourth Proportional to 75,279, 112,925.04 and 19,875

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Solution

The fourth proportional to 75,279, 112,925.04 and 19,875 is: 29,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,279 : 112,925.04 = 19,875 : x
  2. Step 2: Convert to fraction form
    75,279/112,925.04 = 19,875/x
  3. Step 3: Cross multiply
    75,279x = 112,925.04 × 19,875
  4. Step 4: Simplify right side
    75,279x = 2,244,385,170
  5. Step 5: Solve for x
    x = 2,244,385,170/75,279
  6. Step 6: Final answer
    x = 29,814.23

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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.