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Finding the Fourth Proportional to 109,750.34, 164,613.67 and 74,438.19

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Solution

The fourth proportional to 109,750.34, 164,613.67 and 74,438.19 is: 111,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,750.34 : 164,613.67 = 74,438.19 : x
  2. Step 2: Convert to fraction form
    109,750.34/164,613.67 = 74,438.19/x
  3. Step 3: Cross multiply
    109,750.34x = 164,613.67 × 74,438.19
  4. Step 4: Simplify right side
    109,750.34x = 12,253,543,457.96
  5. Step 5: Solve for x
    x = 12,253,543,457.96/109,750.34
  6. Step 6: Final answer
    x = 111,649.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.