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Finding the Fourth Proportional to 115,419.31, 173,189.90 and 81,901.89

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Solution

The fourth proportional to 115,419.31, 173,189.90 and 81,901.89 is: 122,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,419.31 : 173,189.90 = 81,901.89 : x
  2. Step 2: Convert to fraction form
    115,419.31/173,189.90 = 81,901.89/x
  3. Step 3: Cross multiply
    115,419.31x = 173,189.90 × 81,901.89
  4. Step 4: Simplify right side
    115,419.31x = 14,184,580,343.67
  5. Step 5: Solve for x
    x = 14,184,580,343.67/115,419.31
  6. Step 6: Final answer
    x = 122,896.08

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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.