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Finding the Fourth Proportional to 177,813.86, 266,929.16 and 140,399.15

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Solution

The fourth proportional to 177,813.86, 266,929.16 and 140,399.15 is: 210,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,813.86 : 266,929.16 = 140,399.15 : x
  2. Step 2: Convert to fraction form
    177,813.86/266,929.16 = 140,399.15/x
  3. Step 3: Cross multiply
    177,813.86x = 266,929.16 × 140,399.15
  4. Step 4: Simplify right side
    177,813.86x = 37,476,625,137.57
  5. Step 5: Solve for x
    x = 37,476,625,137.57/177,813.86
  6. Step 6: Final answer
    x = 210,763.25

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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.