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Finding the Fourth Proportional to 69,416.32, 104,066.88 and 39,856

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Solution

The fourth proportional to 69,416.32, 104,066.88 and 39,856 is: 59,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416.32 : 104,066.88 = 39,856 : x
  2. Step 2: Convert to fraction form
    69,416.32/104,066.88 = 39,856/x
  3. Step 3: Cross multiply
    69,416.32x = 104,066.88 × 39,856
  4. Step 4: Simplify right side
    69,416.32x = 4,147,689,569.28
  5. Step 5: Solve for x
    x = 4,147,689,569.28/69,416.32
  6. Step 6: Final answer
    x = 59,750.93

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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.