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Finding the Fourth Proportional to 138,308.70, 190,818.74 and 83,877.51

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Solution

The fourth proportional to 138,308.70, 190,818.74 and 83,877.51 is: 115,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308.70 : 190,818.74 = 83,877.51 : x
  2. Step 2: Convert to fraction form
    138,308.70/190,818.74 = 83,877.51/x
  3. Step 3: Cross multiply
    138,308.70x = 190,818.74 × 83,877.51
  4. Step 4: Simplify right side
    138,308.70x = 16,005,400,982.23
  5. Step 5: Solve for x
    x = 16,005,400,982.23/138,308.70
  6. Step 6: Final answer
    x = 115,722.30

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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.