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Finding the Fourth Proportional to 131,294.40, 196,976.16 and 37,807.68

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Solution

The fourth proportional to 131,294.40, 196,976.16 and 37,807.68 is: 56,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294.40 : 196,976.16 = 37,807.68 : x
  2. Step 2: Convert to fraction form
    131,294.40/196,976.16 = 37,807.68/x
  3. Step 3: Cross multiply
    131,294.40x = 196,976.16 × 37,807.68
  4. Step 4: Simplify right side
    131,294.40x = 7,447,211,624.91
  5. Step 5: Solve for x
    x = 7,447,211,624.91/131,294.40
  6. Step 6: Final answer
    x = 56,721.47

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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.