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Finding the Fourth Proportional to 213,156.23, 319,665.11 and 70,963.29

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Solution

The fourth proportional to 213,156.23, 319,665.11 and 70,963.29 is: 106,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,156.23 : 319,665.11 = 70,963.29 : x
  2. Step 2: Convert to fraction form
    213,156.23/319,665.11 = 70,963.29/x
  3. Step 3: Cross multiply
    213,156.23x = 319,665.11 × 70,963.29
  4. Step 4: Simplify right side
    213,156.23x = 22,684,487,549.00
  5. Step 5: Solve for x
    x = 22,684,487,549.00/213,156.23
  6. Step 6: Final answer
    x = 106,421.89

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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.