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Finding the Fourth Proportional to 135,864.95, 203,722.70 and 72,759.06

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Solution

The fourth proportional to 135,864.95, 203,722.70 and 72,759.06 is: 109,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,864.95 : 203,722.70 = 72,759.06 : x
  2. Step 2: Convert to fraction form
    135,864.95/203,722.70 = 72,759.06/x
  3. Step 3: Cross multiply
    135,864.95x = 203,722.70 × 72,759.06
  4. Step 4: Simplify right side
    135,864.95x = 14,822,671,788.87
  5. Step 5: Solve for x
    x = 14,822,671,788.87/135,864.95
  6. Step 6: Final answer
    x = 109,098.57

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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.