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Finding the Fourth Proportional to 81,705.62, 122,386.08 and 37,369.64

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Solution

The fourth proportional to 81,705.62, 122,386.08 and 37,369.64 is: 55,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.62 : 122,386.08 = 37,369.64 : x
  2. Step 2: Convert to fraction form
    81,705.62/122,386.08 = 37,369.64/x
  3. Step 3: Cross multiply
    81,705.62x = 122,386.08 × 37,369.64
  4. Step 4: Simplify right side
    81,705.62x = 4,573,523,750.61
  5. Step 5: Solve for x
    x = 4,573,523,750.61/81,705.62
  6. Step 6: Final answer
    x = 55,975.63

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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.