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Finding the Fourth Proportional to 120,089.96, 165,732.72 and 66,373.81

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Solution

The fourth proportional to 120,089.96, 165,732.72 and 66,373.81 is: 91,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089.96 : 165,732.72 = 66,373.81 : x
  2. Step 2: Convert to fraction form
    120,089.96/165,732.72 = 66,373.81/x
  3. Step 3: Cross multiply
    120,089.96x = 165,732.72 × 66,373.81
  4. Step 4: Simplify right side
    120,089.96x = 11,000,312,068.06
  5. Step 5: Solve for x
    x = 11,000,312,068.06/120,089.96
  6. Step 6: Final answer
    x = 91,600.60

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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.