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Finding the Fourth Proportional to 133,220.46, 183,758.31 and 79,464

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Solution

The fourth proportional to 133,220.46, 183,758.31 and 79,464 is: 109,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,220.46 : 183,758.31 = 79,464 : x
  2. Step 2: Convert to fraction form
    133,220.46/183,758.31 = 79,464/x
  3. Step 3: Cross multiply
    133,220.46x = 183,758.31 × 79,464
  4. Step 4: Simplify right side
    133,220.46x = 14,602,170,345.84
  5. Step 5: Solve for x
    x = 14,602,170,345.84/133,220.46
  6. Step 6: Final answer
    x = 109,609.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.