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Finding the Fourth Proportional to 106,035.84, 159,112.80 and 90,524.16

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Solution

The fourth proportional to 106,035.84, 159,112.80 and 90,524.16 is: 135,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,035.84 : 159,112.80 = 90,524.16 : x
  2. Step 2: Convert to fraction form
    106,035.84/159,112.80 = 90,524.16/x
  3. Step 3: Cross multiply
    106,035.84x = 159,112.80 × 90,524.16
  4. Step 4: Simplify right side
    106,035.84x = 14,403,552,565.25
  5. Step 5: Solve for x
    x = 14,403,552,565.25/106,035.84
  6. Step 6: Final answer
    x = 135,836.64

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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.