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Finding the Fourth Proportional to 213,045.80, 319,179.90 and 129,842.60

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Solution

The fourth proportional to 213,045.80, 319,179.90 and 129,842.60 is: 194,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,045.80 : 319,179.90 = 129,842.60 : x
  2. Step 2: Convert to fraction form
    213,045.80/319,179.90 = 129,842.60/x
  3. Step 3: Cross multiply
    213,045.80x = 319,179.90 × 129,842.60
  4. Step 4: Simplify right side
    213,045.80x = 41,443,148,083.74
  5. Step 5: Solve for x
    x = 41,443,148,083.74/213,045.80
  6. Step 6: Final answer
    x = 194,526.94

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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.