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Finding the Fourth Proportional to 185,509.58, 278,275.41 and 71,658.26

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Solution

The fourth proportional to 185,509.58, 278,275.41 and 71,658.26 is: 107,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,509.58 : 278,275.41 = 71,658.26 : x
  2. Step 2: Convert to fraction form
    185,509.58/278,275.41 = 71,658.26/x
  3. Step 3: Cross multiply
    185,509.58x = 278,275.41 × 71,658.26
  4. Step 4: Simplify right side
    185,509.58x = 19,940,730,290.01
  5. Step 5: Solve for x
    x = 19,940,730,290.01/185,509.58
  6. Step 6: Final answer
    x = 107,491.65

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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.