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Finding the Fourth Proportional to 131,419.70, 197,107.98 and 36,656.33

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Solution

The fourth proportional to 131,419.70, 197,107.98 and 36,656.33 is: 54,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,419.70 : 197,107.98 = 36,656.33 : x
  2. Step 2: Convert to fraction form
    131,419.70/197,107.98 = 36,656.33/x
  3. Step 3: Cross multiply
    131,419.70x = 197,107.98 × 36,656.33
  4. Step 4: Simplify right side
    131,419.70x = 7,225,255,160.51
  5. Step 5: Solve for x
    x = 7,225,255,160.51/131,419.70
  6. Step 6: Final answer
    x = 54,978.48

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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.