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Finding the Fourth Proportional to 90,374.94, 135,577.80 and 31,196.75

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Solution

The fourth proportional to 90,374.94, 135,577.80 and 31,196.75 is: 46,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,374.94 : 135,577.80 = 31,196.75 : x
  2. Step 2: Convert to fraction form
    90,374.94/135,577.80 = 31,196.75/x
  3. Step 3: Cross multiply
    90,374.94x = 135,577.80 × 31,196.75
  4. Step 4: Simplify right side
    90,374.94x = 4,229,586,054.26
  5. Step 5: Solve for x
    x = 4,229,586,054.26/90,374.94
  6. Step 6: Final answer
    x = 46,800.43

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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.