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Finding the Fourth Proportional to 120,004.62, 165,639.36 and 74,655.55

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Solution

The fourth proportional to 120,004.62, 165,639.36 and 74,655.55 is: 103,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.62 : 165,639.36 = 74,655.55 : x
  2. Step 2: Convert to fraction form
    120,004.62/165,639.36 = 74,655.55/x
  3. Step 3: Cross multiply
    120,004.62x = 165,639.36 × 74,655.55
  4. Step 4: Simplify right side
    120,004.62x = 12,365,898,146.43
  5. Step 5: Solve for x
    x = 12,365,898,146.43/120,004.62
  6. Step 6: Final answer
    x = 103,045.18

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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.