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Finding the Fourth Proportional to 113,774.31, 156,977.06 and 73,489.77

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Solution

The fourth proportional to 113,774.31, 156,977.06 and 73,489.77 is: 101,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,774.31 : 156,977.06 = 73,489.77 : x
  2. Step 2: Convert to fraction form
    113,774.31/156,977.06 = 73,489.77/x
  3. Step 3: Cross multiply
    113,774.31x = 156,977.06 × 73,489.77
  4. Step 4: Simplify right side
    113,774.31x = 11,536,207,667.23
  5. Step 5: Solve for x
    x = 11,536,207,667.23/113,774.31
  6. Step 6: Final answer
    x = 101,395.54

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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.