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Finding the Fourth Proportional to 156,408.66, 215,843.76 and 84,788.10

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Solution

The fourth proportional to 156,408.66, 215,843.76 and 84,788.10 is: 117,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408.66 : 215,843.76 = 84,788.10 : x
  2. Step 2: Convert to fraction form
    156,408.66/215,843.76 = 84,788.10/x
  3. Step 3: Cross multiply
    156,408.66x = 215,843.76 × 84,788.10
  4. Step 4: Simplify right side
    156,408.66x = 18,300,982,307.26
  5. Step 5: Solve for x
    x = 18,300,982,307.26/156,408.66
  6. Step 6: Final answer
    x = 117,007.47

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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.