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Finding the Fourth Proportional to 90,206.88, 135,237.42 and 37,655.70

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Solution

The fourth proportional to 90,206.88, 135,237.42 and 37,655.70 is: 56,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,206.88 : 135,237.42 = 37,655.70 : x
  2. Step 2: Convert to fraction form
    90,206.88/135,237.42 = 37,655.70/x
  3. Step 3: Cross multiply
    90,206.88x = 135,237.42 × 37,655.70
  4. Step 4: Simplify right side
    90,206.88x = 5,092,459,716.29
  5. Step 5: Solve for x
    x = 5,092,459,716.29/90,206.88
  6. Step 6: Final answer
    x = 56,453.12

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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.