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Finding the Fourth Proportional to 272,712.83, 409,133.84 and 137,444.45

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Solution

The fourth proportional to 272,712.83, 409,133.84 and 137,444.45 is: 206,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,712.83 : 409,133.84 = 137,444.45 : x
  2. Step 2: Convert to fraction form
    272,712.83/409,133.84 = 137,444.45/x
  3. Step 3: Cross multiply
    272,712.83x = 409,133.84 × 137,444.45
  4. Step 4: Simplify right side
    272,712.83x = 56,233,172,882.30
  5. Step 5: Solve for x
    x = 56,233,172,882.30/272,712.83
  6. Step 6: Final answer
    x = 206,199.22

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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.