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Finding the Fourth Proportional to 188,711.72, 260,426.14 and 103,828.94

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Solution

The fourth proportional to 188,711.72, 260,426.14 and 103,828.94 is: 143,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,711.72 : 260,426.14 = 103,828.94 : x
  2. Step 2: Convert to fraction form
    188,711.72/260,426.14 = 103,828.94/x
  3. Step 3: Cross multiply
    188,711.72x = 260,426.14 × 103,828.94
  4. Step 4: Simplify right side
    188,711.72x = 27,039,768,502.79
  5. Step 5: Solve for x
    x = 27,039,768,502.79/188,711.72
  6. Step 6: Final answer
    x = 143,286.12

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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.