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Finding the Fourth Proportional to 84,714.39, 116,919.87 and 47,000.79

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Solution

The fourth proportional to 84,714.39, 116,919.87 and 47,000.79 is: 64,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714.39 : 116,919.87 = 47,000.79 : x
  2. Step 2: Convert to fraction form
    84,714.39/116,919.87 = 47,000.79/x
  3. Step 3: Cross multiply
    84,714.39x = 116,919.87 × 47,000.79
  4. Step 4: Simplify right side
    84,714.39x = 5,495,326,256.70
  5. Step 5: Solve for x
    x = 5,495,326,256.70/84,714.39
  6. Step 6: Final answer
    x = 64,868.86

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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.