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Finding the Fourth Proportional to 50,780.46, 70,076.16 and 28,119

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Solution

The fourth proportional to 50,780.46, 70,076.16 and 28,119 is: 38,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,780.46 : 70,076.16 = 28,119 : x
  2. Step 2: Convert to fraction form
    50,780.46/70,076.16 = 28,119/x
  3. Step 3: Cross multiply
    50,780.46x = 70,076.16 × 28,119
  4. Step 4: Simplify right side
    50,780.46x = 1,970,471,543.04
  5. Step 5: Solve for x
    x = 1,970,471,543.04/50,780.46
  6. Step 6: Final answer
    x = 38,803.74

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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.