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Finding the Fourth Proportional to 68,419.94, 102,642.66 and 26,298.32

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Solution

The fourth proportional to 68,419.94, 102,642.66 and 26,298.32 is: 39,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419.94 : 102,642.66 = 26,298.32 : x
  2. Step 2: Convert to fraction form
    68,419.94/102,642.66 = 26,298.32/x
  3. Step 3: Cross multiply
    68,419.94x = 102,642.66 × 26,298.32
  4. Step 4: Simplify right side
    68,419.94x = 2,699,329,005.12
  5. Step 5: Solve for x
    x = 2,699,329,005.12/68,419.94
  6. Step 6: Final answer
    x = 39,452.38

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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.