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Finding the Fourth Proportional to 80,584.61, 120,710.79 and 47,203.47

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Solution

The fourth proportional to 80,584.61, 120,710.79 and 47,203.47 is: 70,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,584.61 : 120,710.79 = 47,203.47 : x
  2. Step 2: Convert to fraction form
    80,584.61/120,710.79 = 47,203.47/x
  3. Step 3: Cross multiply
    80,584.61x = 120,710.79 × 47,203.47
  4. Step 4: Simplify right side
    80,584.61x = 5,697,968,154.44
  5. Step 5: Solve for x
    x = 5,697,968,154.44/80,584.61
  6. Step 6: Final answer
    x = 70,707.90

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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.