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Finding the Fourth Proportional to 138,164.05, 190,652.80 and 77,733.40

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Solution

The fourth proportional to 138,164.05, 190,652.80 and 77,733.40 is: 107,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.05 : 190,652.80 = 77,733.40 : x
  2. Step 2: Convert to fraction form
    138,164.05/190,652.80 = 77,733.40/x
  3. Step 3: Cross multiply
    138,164.05x = 190,652.80 × 77,733.40
  4. Step 4: Simplify right side
    138,164.05x = 14,820,089,410.26
  5. Step 5: Solve for x
    x = 14,820,089,410.26/138,164.05
  6. Step 6: Final answer
    x = 107,264.44

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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.