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Finding the Fourth Proportional to 133,018.66, 199,010.40 and 121,849.17

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Solution

The fourth proportional to 133,018.66, 199,010.40 and 121,849.17 is: 182,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,018.66 : 199,010.40 = 121,849.17 : x
  2. Step 2: Convert to fraction form
    133,018.66/199,010.40 = 121,849.17/x
  3. Step 3: Cross multiply
    133,018.66x = 199,010.40 × 121,849.17
  4. Step 4: Simplify right side
    133,018.66x = 24,249,252,061.37
  5. Step 5: Solve for x
    x = 24,249,252,061.37/133,018.66
  6. Step 6: Final answer
    x = 182,299.63

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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.