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Finding the Fourth Proportional to 47,765.79, 71,648.78 and 12,705.44

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Solution

The fourth proportional to 47,765.79, 71,648.78 and 12,705.44 is: 19,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.79 : 71,648.78 = 12,705.44 : x
  2. Step 2: Convert to fraction form
    47,765.79/71,648.78 = 12,705.44/x
  3. Step 3: Cross multiply
    47,765.79x = 71,648.78 × 12,705.44
  4. Step 4: Simplify right side
    47,765.79x = 910,328,853.59
  5. Step 5: Solve for x
    x = 910,328,853.59/47,765.79
  6. Step 6: Final answer
    x = 19,058.18

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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.