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Finding the Fourth Proportional to 47,907.70, 71,870.20 and 19,812.50

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Solution

The fourth proportional to 47,907.70, 71,870.20 and 19,812.50 is: 29,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907.70 : 71,870.20 = 19,812.50 : x
  2. Step 2: Convert to fraction form
    47,907.70/71,870.20 = 19,812.50/x
  3. Step 3: Cross multiply
    47,907.70x = 71,870.20 × 19,812.50
  4. Step 4: Simplify right side
    47,907.70x = 1,423,928,337.50
  5. Step 5: Solve for x
    x = 1,423,928,337.50/47,907.70
  6. Step 6: Final answer
    x = 29,722.33

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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.