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Finding the Fourth Proportional to 205,812.70, 308,500.25 and 99,130.03

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Solution

The fourth proportional to 205,812.70, 308,500.25 and 99,130.03 is: 148,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.70 : 308,500.25 = 99,130.03 : x
  2. Step 2: Convert to fraction form
    205,812.70/308,500.25 = 99,130.03/x
  3. Step 3: Cross multiply
    205,812.70x = 308,500.25 × 99,130.03
  4. Step 4: Simplify right side
    205,812.70x = 30,581,637,770.61
  5. Step 5: Solve for x
    x = 30,581,637,770.61/205,812.70
  6. Step 6: Final answer
    x = 148,589.66

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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.