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Finding the Fourth Proportional to 120,088.96, 165,731.34 and 66,372.81

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Solution

The fourth proportional to 120,088.96, 165,731.34 and 66,372.81 is: 91,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.96 : 165,731.34 = 66,372.81 : x
  2. Step 2: Convert to fraction form
    120,088.96/165,731.34 = 66,372.81/x
  3. Step 3: Cross multiply
    120,088.96x = 165,731.34 × 66,372.81
  4. Step 4: Simplify right side
    120,088.96x = 11,000,054,740.87
  5. Step 5: Solve for x
    x = 11,000,054,740.87/120,088.96
  6. Step 6: Final answer
    x = 91,599.22

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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.