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Finding the Fourth Proportional to 138,984.34, 191,798.40 and 75,322.12

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Solution

The fourth proportional to 138,984.34, 191,798.40 and 75,322.12 is: 103,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,984.34 : 191,798.40 = 75,322.12 : x
  2. Step 2: Convert to fraction form
    138,984.34/191,798.40 = 75,322.12/x
  3. Step 3: Cross multiply
    138,984.34x = 191,798.40 × 75,322.12
  4. Step 4: Simplify right side
    138,984.34x = 14,446,662,100.61
  5. Step 5: Solve for x
    x = 14,446,662,100.61/138,984.34
  6. Step 6: Final answer
    x = 103,944.53

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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.