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Finding the Fourth Proportional to 205,803.47, 308,705.21 and 135,666.38

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Solution

The fourth proportional to 205,803.47, 308,705.21 and 135,666.38 is: 203,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803.47 : 308,705.21 = 135,666.38 : x
  2. Step 2: Convert to fraction form
    205,803.47/308,705.21 = 135,666.38/x
  3. Step 3: Cross multiply
    205,803.47x = 308,705.21 × 135,666.38
  4. Step 4: Simplify right side
    205,803.47x = 41,880,918,327.84
  5. Step 5: Solve for x
    x = 41,880,918,327.84/205,803.47
  6. Step 6: Final answer
    x = 203,499.57

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1.5x scale

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.