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Finding the Fourth Proportional to 50,347.20, 69,436.80 and 42,408

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Solution

The fourth proportional to 50,347.20, 69,436.80 and 42,408 is: 58,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,347.20 : 69,436.80 = 42,408 : x
  2. Step 2: Convert to fraction form
    50,347.20/69,436.80 = 42,408/x
  3. Step 3: Cross multiply
    50,347.20x = 69,436.80 × 42,408
  4. Step 4: Simplify right side
    50,347.20x = 2,944,675,814.40
  5. Step 5: Solve for x
    x = 2,944,675,814.40/50,347.20
  6. Step 6: Final answer
    x = 58,487.38

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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.