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Finding the Fourth Proportional to 71,838.80, 107,769.54 and 21,907.46

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Solution

The fourth proportional to 71,838.80, 107,769.54 and 21,907.46 is: 32,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.80 : 107,769.54 = 21,907.46 : x
  2. Step 2: Convert to fraction form
    71,838.80/107,769.54 = 21,907.46/x
  3. Step 3: Cross multiply
    71,838.80x = 107,769.54 × 21,907.46
  4. Step 4: Simplify right side
    71,838.80x = 2,360,956,886.77
  5. Step 5: Solve for x
    x = 2,360,956,886.77/71,838.80
  6. Step 6: Final answer
    x = 32,864.65

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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.