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Finding the Fourth Proportional to 47,288.52, 70,907.82 and 20,981.80

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Solution

The fourth proportional to 47,288.52, 70,907.82 and 20,981.80 is: 31,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,288.52 : 70,907.82 = 20,981.80 : x
  2. Step 2: Convert to fraction form
    47,288.52/70,907.82 = 20,981.80/x
  3. Step 3: Cross multiply
    47,288.52x = 70,907.82 × 20,981.80
  4. Step 4: Simplify right side
    47,288.52x = 1,487,773,697.68
  5. Step 5: Solve for x
    x = 1,487,773,697.68/47,288.52
  6. Step 6: Final answer
    x = 31,461.63

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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.