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Finding the Fourth Proportional to 68,434.65, 102,619.17 and 35,137.58

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Solution

The fourth proportional to 68,434.65, 102,619.17 and 35,137.58 is: 52,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,434.65 : 102,619.17 = 35,137.58 : x
  2. Step 2: Convert to fraction form
    68,434.65/102,619.17 = 35,137.58/x
  3. Step 3: Cross multiply
    68,434.65x = 102,619.17 × 35,137.58
  4. Step 4: Simplify right side
    68,434.65x = 3,605,788,782.31
  5. Step 5: Solve for x
    x = 3,605,788,782.31/68,434.65
  6. Step 6: Final answer
    x = 52,689.52

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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.