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Finding the Fourth Proportional to 120,638.74, 180,773.53 and 64,486.81

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Solution

The fourth proportional to 120,638.74, 180,773.53 and 64,486.81 is: 96,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,638.74 : 180,773.53 = 64,486.81 : x
  2. Step 2: Convert to fraction form
    120,638.74/180,773.53 = 64,486.81/x
  3. Step 3: Cross multiply
    120,638.74x = 180,773.53 × 64,486.81
  4. Step 4: Simplify right side
    120,638.74x = 11,657,508,282.14
  5. Step 5: Solve for x
    x = 11,657,508,282.14/120,638.74
  6. Step 6: Final answer
    x = 96,631.55

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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.