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Finding the Fourth Proportional to 113,855.10, 157,164.34 and 101,897.66

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Solution

The fourth proportional to 113,855.10, 157,164.34 and 101,897.66 is: 140,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,855.10 : 157,164.34 = 101,897.66 : x
  2. Step 2: Convert to fraction form
    113,855.10/157,164.34 = 101,897.66/x
  3. Step 3: Cross multiply
    113,855.10x = 157,164.34 × 101,897.66
  4. Step 4: Simplify right side
    113,855.10x = 16,014,678,481.44
  5. Step 5: Solve for x
    x = 16,014,678,481.44/113,855.10
  6. Step 6: Final answer
    x = 140,658.42

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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.