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Finding the Fourth Proportional to 139,234.14, 208,817.76 and 64,282.28

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Solution

The fourth proportional to 139,234.14, 208,817.76 and 64,282.28 is: 96,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,234.14 : 208,817.76 = 64,282.28 : x
  2. Step 2: Convert to fraction form
    139,234.14/208,817.76 = 64,282.28/x
  3. Step 3: Cross multiply
    139,234.14x = 208,817.76 × 64,282.28
  4. Step 4: Simplify right side
    139,234.14x = 13,423,280,914.26
  5. Step 5: Solve for x
    x = 13,423,280,914.26/139,234.14
  6. Step 6: Final answer
    x = 96,407.97

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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.