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Finding the Fourth Proportional to 53,742, 74,165.22 and 29,869.68

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Solution

The fourth proportional to 53,742, 74,165.22 and 29,869.68 is: 41,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742 : 74,165.22 = 29,869.68 : x
  2. Step 2: Convert to fraction form
    53,742/74,165.22 = 29,869.68/x
  3. Step 3: Cross multiply
    53,742x = 74,165.22 × 29,869.68
  4. Step 4: Simplify right side
    53,742x = 2,215,291,388.53
  5. Step 5: Solve for x
    x = 2,215,291,388.53/53,742
  6. Step 6: Final answer
    x = 41,220.86

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1.5x scale

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.