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Finding the Fourth Proportional to 129,242.81, 193,878.12 and 54,370.58

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Solution

The fourth proportional to 129,242.81, 193,878.12 and 54,370.58 is: 81,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,242.81 : 193,878.12 = 54,370.58 : x
  2. Step 2: Convert to fraction form
    129,242.81/193,878.12 = 54,370.58/x
  3. Step 3: Cross multiply
    129,242.81x = 193,878.12 × 54,370.58
  4. Step 4: Simplify right side
    129,242.81x = 10,541,265,068.21
  5. Step 5: Solve for x
    x = 10,541,265,068.21/129,242.81
  6. Step 6: Final answer
    x = 81,561.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.