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Finding the Fourth Proportional to 120,856.33, 180,494.14 and 102,895.51

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Solution

The fourth proportional to 120,856.33, 180,494.14 and 102,895.51 is: 153,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,856.33 : 180,494.14 = 102,895.51 : x
  2. Step 2: Convert to fraction form
    120,856.33/180,494.14 = 102,895.51/x
  3. Step 3: Cross multiply
    120,856.33x = 180,494.14 × 102,895.51
  4. Step 4: Simplify right side
    120,856.33x = 18,572,036,844.55
  5. Step 5: Solve for x
    x = 18,572,036,844.55/120,856.33
  6. Step 6: Final answer
    x = 153,670.37

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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.