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Finding the Fourth Proportional to 50,140, 75,210 and 15,079.69

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Solution

The fourth proportional to 50,140, 75,210 and 15,079.69 is: 22,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,140 : 75,210 = 15,079.69 : x
  2. Step 2: Convert to fraction form
    50,140/75,210 = 15,079.69/x
  3. Step 3: Cross multiply
    50,140x = 75,210 × 15,079.69
  4. Step 4: Simplify right side
    50,140x = 1,134,143,484.90
  5. Step 5: Solve for x
    x = 1,134,143,484.90/50,140
  6. Step 6: Final answer
    x = 22,619.54

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Why These Related Problems?

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