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Finding the Fourth Proportional to 131,107.60, 196,531.80 and 52,116.40

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Solution

The fourth proportional to 131,107.60, 196,531.80 and 52,116.40 is: 78,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,107.60 : 196,531.80 = 52,116.40 : x
  2. Step 2: Convert to fraction form
    131,107.60/196,531.80 = 52,116.40/x
  3. Step 3: Cross multiply
    131,107.60x = 196,531.80 × 52,116.40
  4. Step 4: Simplify right side
    131,107.60x = 10,242,529,901.52
  5. Step 5: Solve for x
    x = 10,242,529,901.52/131,107.60
  6. Step 6: Final answer
    x = 78,123.08

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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.