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Finding the Fourth Proportional to 90,090.88, 135,097.80 and 30,932.53

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Solution

The fourth proportional to 90,090.88, 135,097.80 and 30,932.53 is: 46,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,090.88 : 135,097.80 = 30,932.53 : x
  2. Step 2: Convert to fraction form
    90,090.88/135,097.80 = 30,932.53/x
  3. Step 3: Cross multiply
    90,090.88x = 135,097.80 × 30,932.53
  4. Step 4: Simplify right side
    90,090.88x = 4,178,916,751.43
  5. Step 5: Solve for x
    x = 4,178,916,751.43/90,090.88
  6. Step 6: Final answer
    x = 46,385.57

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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.