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Finding the Fourth Proportional to 185,505.83, 278,269.79 and 71,654.51

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Solution

The fourth proportional to 185,505.83, 278,269.79 and 71,654.51 is: 107,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,505.83 : 278,269.79 = 71,654.51 : x
  2. Step 2: Convert to fraction form
    185,505.83/278,269.79 = 71,654.51/x
  3. Step 3: Cross multiply
    185,505.83x = 278,269.79 × 71,654.51
  4. Step 4: Simplify right side
    185,505.83x = 19,939,283,700.63
  5. Step 5: Solve for x
    x = 19,939,283,700.63/185,505.83
  6. Step 6: Final answer
    x = 107,486.02

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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.