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Finding the Fourth Proportional to 52,434, 72,338.40 and 34,538.40

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Solution

The fourth proportional to 52,434, 72,338.40 and 34,538.40 is: 47,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434 : 72,338.40 = 34,538.40 : x
  2. Step 2: Convert to fraction form
    52,434/72,338.40 = 34,538.40/x
  3. Step 3: Cross multiply
    52,434x = 72,338.40 × 34,538.40
  4. Step 4: Simplify right side
    52,434x = 2,498,452,594.56
  5. Step 5: Solve for x
    x = 2,498,452,594.56/52,434
  6. Step 6: Final answer
    x = 47,649.48

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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.