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Finding the Fourth Proportional to 102,908.34, 154,387.95 and 73,252.50

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Solution

The fourth proportional to 102,908.34, 154,387.95 and 73,252.50 is: 109,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,908.34 : 154,387.95 = 73,252.50 : x
  2. Step 2: Convert to fraction form
    102,908.34/154,387.95 = 73,252.50/x
  3. Step 3: Cross multiply
    102,908.34x = 154,387.95 × 73,252.50
  4. Step 4: Simplify right side
    102,908.34x = 11,309,303,307.38
  5. Step 5: Solve for x
    x = 11,309,303,307.38/102,908.34
  6. Step 6: Final answer
    x = 109,896.86

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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.