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Finding the Fourth Proportional to 75,171.50, 112,763.91 and 19,767.50

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Solution

The fourth proportional to 75,171.50, 112,763.91 and 19,767.50 is: 29,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171.50 : 112,763.91 = 19,767.50 : x
  2. Step 2: Convert to fraction form
    75,171.50/112,763.91 = 19,767.50/x
  3. Step 3: Cross multiply
    75,171.50x = 112,763.91 × 19,767.50
  4. Step 4: Simplify right side
    75,171.50x = 2,229,060,590.93
  5. Step 5: Solve for x
    x = 2,229,060,590.93/75,171.50
  6. Step 6: Final answer
    x = 29,653.00

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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.