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Finding the Fourth Proportional to 53,420, 73,710.80 and 29,542

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Solution

The fourth proportional to 53,420, 73,710.80 and 29,542 is: 40,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420 : 73,710.80 = 29,542 : x
  2. Step 2: Convert to fraction form
    53,420/73,710.80 = 29,542/x
  3. Step 3: Cross multiply
    53,420x = 73,710.80 × 29,542
  4. Step 4: Simplify right side
    53,420x = 2,177,564,453.60
  5. Step 5: Solve for x
    x = 2,177,564,453.60/53,420
  6. Step 6: Final answer
    x = 40,763.09

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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.