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Finding the Fourth Proportional to 50,853, 76,283.85 and 13,412.76

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Solution

The fourth proportional to 50,853, 76,283.85 and 13,412.76 is: 20,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,853 : 76,283.85 = 13,412.76 : x
  2. Step 2: Convert to fraction form
    50,853/76,283.85 = 13,412.76/x
  3. Step 3: Cross multiply
    50,853x = 76,283.85 × 13,412.76
  4. Step 4: Simplify right side
    50,853x = 1,023,176,971.93
  5. Step 5: Solve for x
    x = 1,023,176,971.93/50,853
  6. Step 6: Final answer
    x = 20,120.29

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1.5x scale

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.