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Finding the Fourth Proportional to 90,462.90, 135,694.35 and 31,292.40

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Solution

The fourth proportional to 90,462.90, 135,694.35 and 31,292.40 is: 46,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.90 : 135,694.35 = 31,292.40 : x
  2. Step 2: Convert to fraction form
    90,462.90/135,694.35 = 31,292.40/x
  3. Step 3: Cross multiply
    90,462.90x = 135,694.35 × 31,292.40
  4. Step 4: Simplify right side
    90,462.90x = 4,246,201,877.94
  5. Step 5: Solve for x
    x = 4,246,201,877.94/90,462.90
  6. Step 6: Final answer
    x = 46,938.60

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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.