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Finding the Fourth Proportional to 52,413, 72,331.56 and 30,057

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Solution

The fourth proportional to 52,413, 72,331.56 and 30,057 is: 41,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413 : 72,331.56 = 30,057 : x
  2. Step 2: Convert to fraction form
    52,413/72,331.56 = 30,057/x
  3. Step 3: Cross multiply
    52,413x = 72,331.56 × 30,057
  4. Step 4: Simplify right side
    52,413x = 2,174,069,698.92
  5. Step 5: Solve for x
    x = 2,174,069,698.92/52,413
  6. Step 6: Final answer
    x = 41,479.59

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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.