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Finding the Fourth Proportional to 84,864.64, 117,116.91 and 47,138.89

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Solution

The fourth proportional to 84,864.64, 117,116.91 and 47,138.89 is: 65,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,864.64 : 117,116.91 = 47,138.89 : x
  2. Step 2: Convert to fraction form
    84,864.64/117,116.91 = 47,138.89/x
  3. Step 3: Cross multiply
    84,864.64x = 117,116.91 × 47,138.89
  4. Step 4: Simplify right side
    84,864.64x = 5,520,761,137.63
  5. Step 5: Solve for x
    x = 5,520,761,137.63/84,864.64
  6. Step 6: Final answer
    x = 65,053.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.