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Finding the Fourth Proportional to 161,300.80, 241,987.31 and 54,678.47

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Solution

The fourth proportional to 161,300.80, 241,987.31 and 54,678.47 is: 82,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,300.80 : 241,987.31 = 54,678.47 : x
  2. Step 2: Convert to fraction form
    161,300.80/241,987.31 = 54,678.47/x
  3. Step 3: Cross multiply
    161,300.80x = 241,987.31 × 54,678.47
  4. Step 4: Simplify right side
    161,300.80x = 13,231,495,596.82
  5. Step 5: Solve for x
    x = 13,231,495,596.82/161,300.80
  6. Step 6: Final answer
    x = 82,029.95

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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.