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Finding the Fourth Proportional to 47,311, 70,886.16 and 28,551.62

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Solution

The fourth proportional to 47,311, 70,886.16 and 28,551.62 is: 42,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311 : 70,886.16 = 28,551.62 : x
  2. Step 2: Convert to fraction form
    47,311/70,886.16 = 28,551.62/x
  3. Step 3: Cross multiply
    47,311x = 70,886.16 × 28,551.62
  4. Step 4: Simplify right side
    47,311x = 2,023,914,703.58
  5. Step 5: Solve for x
    x = 2,023,914,703.58/47,311
  6. Step 6: Final answer
    x = 42,778.95

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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.