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Finding the Fourth Proportional to 48,473.80, 72,710.70 and 47,782.60

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Solution

The fourth proportional to 48,473.80, 72,710.70 and 47,782.60 is: 71,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473.80 : 72,710.70 = 47,782.60 : x
  2. Step 2: Convert to fraction form
    48,473.80/72,710.70 = 47,782.60/x
  3. Step 3: Cross multiply
    48,473.80x = 72,710.70 × 47,782.60
  4. Step 4: Simplify right side
    48,473.80x = 3,474,306,293.82
  5. Step 5: Solve for x
    x = 3,474,306,293.82/48,473.80
  6. Step 6: Final answer
    x = 71,673.90

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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.