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Finding the Fourth Proportional to 68,576.86, 102,699.18 and 47,457.72

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Solution

The fourth proportional to 68,576.86, 102,699.18 and 47,457.72 is: 71,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576.86 : 102,699.18 = 47,457.72 : x
  2. Step 2: Convert to fraction form
    68,576.86/102,699.18 = 47,457.72/x
  3. Step 3: Cross multiply
    68,576.86x = 102,699.18 × 47,457.72
  4. Step 4: Simplify right side
    68,576.86x = 4,873,868,928.67
  5. Step 5: Solve for x
    x = 4,873,868,928.67/68,576.86
  6. Step 6: Final answer
    x = 71,071.63

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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.