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Finding the Fourth Proportional to 68,417.63, 102,557.79 and 28,382.16

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Solution

The fourth proportional to 68,417.63, 102,557.79 and 28,382.16 is: 42,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417.63 : 102,557.79 = 28,382.16 : x
  2. Step 2: Convert to fraction form
    68,417.63/102,557.79 = 28,382.16/x
  3. Step 3: Cross multiply
    68,417.63x = 102,557.79 × 28,382.16
  4. Step 4: Simplify right side
    68,417.63x = 2,910,811,463.12
  5. Step 5: Solve for x
    x = 2,910,811,463.12/68,417.63
  6. Step 6: Final answer
    x = 42,544.76

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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.