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Finding the Fourth Proportional to 53,130.66, 73,320.42 and 29,257.38

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Solution

The fourth proportional to 53,130.66, 73,320.42 and 29,257.38 is: 40,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,130.66 : 73,320.42 = 29,257.38 : x
  2. Step 2: Convert to fraction form
    53,130.66/73,320.42 = 29,257.38/x
  3. Step 3: Cross multiply
    53,130.66x = 73,320.42 × 29,257.38
  4. Step 4: Simplify right side
    53,130.66x = 2,145,163,389.70
  5. Step 5: Solve for x
    x = 2,145,163,389.70/53,130.66
  6. Step 6: Final answer
    x = 40,375.24

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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.