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Finding the Fourth Proportional to 75,911.51, 113,872.71 and 21,873.98

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Solution

The fourth proportional to 75,911.51, 113,872.71 and 21,873.98 is: 32,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911.51 : 113,872.71 = 21,873.98 : x
  2. Step 2: Convert to fraction form
    75,911.51/113,872.71 = 21,873.98/x
  3. Step 3: Cross multiply
    75,911.51x = 113,872.71 × 21,873.98
  4. Step 4: Simplify right side
    75,911.51x = 2,490,849,381.09
  5. Step 5: Solve for x
    x = 2,490,849,381.09/75,911.51
  6. Step 6: Final answer
    x = 32,812.54

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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.