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Finding the Fourth Proportional to 250,338, 375,590.80 and 81,866.08

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Solution

The fourth proportional to 250,338, 375,590.80 and 81,866.08 is: 122,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,338 : 375,590.80 = 81,866.08 : x
  2. Step 2: Convert to fraction form
    250,338/375,590.80 = 81,866.08/x
  3. Step 3: Cross multiply
    250,338x = 375,590.80 × 81,866.08
  4. Step 4: Simplify right side
    250,338x = 30,748,146,480.06
  5. Step 5: Solve for x
    x = 30,748,146,480.06/250,338
  6. Step 6: Final answer
    x = 122,826.52

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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.