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Finding the Fourth Proportional to 120,856.83, 180,494.89 and 102,896.01

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Solution

The fourth proportional to 120,856.83, 180,494.89 and 102,896.01 is: 153,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,856.83 : 180,494.89 = 102,896.01 : x
  2. Step 2: Convert to fraction form
    120,856.83/180,494.89 = 102,896.01/x
  3. Step 3: Cross multiply
    120,856.83x = 180,494.89 × 102,896.01
  4. Step 4: Simplify right side
    120,856.83x = 18,572,204,006.39
  5. Step 5: Solve for x
    x = 18,572,204,006.39/120,856.83
  6. Step 6: Final answer
    x = 153,671.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.