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Finding the Fourth Proportional to 205,903.90, 309,028.65 and 100,812.70

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Solution

The fourth proportional to 205,903.90, 309,028.65 and 100,812.70 is: 151,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,903.90 : 309,028.65 = 100,812.70 : x
  2. Step 2: Convert to fraction form
    205,903.90/309,028.65 = 100,812.70/x
  3. Step 3: Cross multiply
    205,903.90x = 309,028.65 × 100,812.70
  4. Step 4: Simplify right side
    205,903.90x = 31,154,012,583.86
  5. Step 5: Solve for x
    x = 31,154,012,583.86/205,903.90
  6. Step 6: Final answer
    x = 151,303.65

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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.