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Finding the Fourth Proportional to 106,439.84, 159,664.62 and 36,319.76

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Solution

The fourth proportional to 106,439.84, 159,664.62 and 36,319.76 is: 54,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439.84 : 159,664.62 = 36,319.76 : x
  2. Step 2: Convert to fraction form
    106,439.84/159,664.62 = 36,319.76/x
  3. Step 3: Cross multiply
    106,439.84x = 159,664.62 × 36,319.76
  4. Step 4: Simplify right side
    106,439.84x = 5,798,980,678.89
  5. Step 5: Solve for x
    x = 5,798,980,678.89/106,439.84
  6. Step 6: Final answer
    x = 54,481.30

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1.5x scale

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.