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Finding the Fourth Proportional to 213,287.91, 319,948.88 and 73,047.75

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Solution

The fourth proportional to 213,287.91, 319,948.88 and 73,047.75 is: 109,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,287.91 : 319,948.88 = 73,047.75 : x
  2. Step 2: Convert to fraction form
    213,287.91/319,948.88 = 73,047.75/x
  3. Step 3: Cross multiply
    213,287.91x = 319,948.88 × 73,047.75
  4. Step 4: Simplify right side
    213,287.91x = 23,371,545,433.78
  5. Step 5: Solve for x
    x = 23,371,545,433.78/213,287.91
  6. Step 6: Final answer
    x = 109,577.45

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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.