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Finding the Fourth Proportional to 131,564, 197,436.72 and 114,016.16

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Solution

The fourth proportional to 131,564, 197,436.72 and 114,016.16 is: 171,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,564 : 197,436.72 = 114,016.16 : x
  2. Step 2: Convert to fraction form
    131,564/197,436.72 = 114,016.16/x
  3. Step 3: Cross multiply
    131,564x = 197,436.72 × 114,016.16
  4. Step 4: Simplify right side
    131,564x = 22,510,976,657.40
  5. Step 5: Solve for x
    x = 22,510,976,657.40/131,564
  6. Step 6: Final answer
    x = 171,102.86

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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.