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Finding the Fourth Proportional to 51,105, 70,520 and 37,683.48

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Solution

The fourth proportional to 51,105, 70,520 and 37,683.48 is: 51,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105 : 70,520 = 37,683.48 : x
  2. Step 2: Convert to fraction form
    51,105/70,520 = 37,683.48/x
  3. Step 3: Cross multiply
    51,105x = 70,520 × 37,683.48
  4. Step 4: Simplify right side
    51,105x = 2,657,439,009.60
  5. Step 5: Solve for x
    x = 2,657,439,009.60/51,105
  6. Step 6: Final answer
    x = 51,999.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.