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Finding the Fourth Proportional to 75,005.65, 112,493.62 and 21,703.87

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Solution

The fourth proportional to 75,005.65, 112,493.62 and 21,703.87 is: 32,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.65 : 112,493.62 = 21,703.87 : x
  2. Step 2: Convert to fraction form
    75,005.65/112,493.62 = 21,703.87/x
  3. Step 3: Cross multiply
    75,005.65x = 112,493.62 × 21,703.87
  4. Step 4: Simplify right side
    75,005.65x = 2,441,546,904.31
  5. Step 5: Solve for x
    x = 2,441,546,904.31/75,005.65
  6. Step 6: Final answer
    x = 32,551.51

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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.