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Finding the Fourth Proportional to 121,740.84, 182,359.68 and 71,666.64

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Solution

The fourth proportional to 121,740.84, 182,359.68 and 71,666.64 is: 107,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,740.84 : 182,359.68 = 71,666.64 : x
  2. Step 2: Convert to fraction form
    121,740.84/182,359.68 = 71,666.64/x
  3. Step 3: Cross multiply
    121,740.84x = 182,359.68 × 71,666.64
  4. Step 4: Simplify right side
    121,740.84x = 13,069,105,537.08
  5. Step 5: Solve for x
    x = 13,069,105,537.08/121,740.84
  6. Step 6: Final answer
    x = 107,351.86

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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.