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Finding the Fourth Proportional to 50,120, 69,165.60 and 30,248

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Solution

The fourth proportional to 50,120, 69,165.60 and 30,248 is: 41,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,120 : 69,165.60 = 30,248 : x
  2. Step 2: Convert to fraction form
    50,120/69,165.60 = 30,248/x
  3. Step 3: Cross multiply
    50,120x = 69,165.60 × 30,248
  4. Step 4: Simplify right side
    50,120x = 2,092,121,068.80
  5. Step 5: Solve for x
    x = 2,092,121,068.80/50,120
  6. Step 6: Final answer
    x = 41,742.24

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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.