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Finding the Fourth Proportional to 68,417.12, 102,645.12 and 48,238.40

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Solution

The fourth proportional to 68,417.12, 102,645.12 and 48,238.40 is: 72,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417.12 : 102,645.12 = 48,238.40 : x
  2. Step 2: Convert to fraction form
    68,417.12/102,645.12 = 48,238.40/x
  3. Step 3: Cross multiply
    68,417.12x = 102,645.12 × 48,238.40
  4. Step 4: Simplify right side
    68,417.12x = 4,951,436,356.61
  5. Step 5: Solve for x
    x = 4,951,436,356.61/68,417.12
  6. Step 6: Final answer
    x = 72,371.31

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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.