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Finding the Fourth Proportional to 68,011.34, 102,013.76 and 20,624.31

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Solution

The fourth proportional to 68,011.34, 102,013.76 and 20,624.31 is: 30,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,011.34 : 102,013.76 = 20,624.31 : x
  2. Step 2: Convert to fraction form
    68,011.34/102,013.76 = 20,624.31/x
  3. Step 3: Cross multiply
    68,011.34x = 102,013.76 × 20,624.31
  4. Step 4: Simplify right side
    68,011.34x = 2,103,963,307.38
  5. Step 5: Solve for x
    x = 2,103,963,307.38/68,011.34
  6. Step 6: Final answer
    x = 30,935.48

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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.