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Finding the Fourth Proportional to 90,142, 135,184.24 and 30,963.40

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Solution

The fourth proportional to 90,142, 135,184.24 and 30,963.40 is: 46,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,142 : 135,184.24 = 30,963.40 : x
  2. Step 2: Convert to fraction form
    90,142/135,184.24 = 30,963.40/x
  3. Step 3: Cross multiply
    90,142x = 135,184.24 × 30,963.40
  4. Step 4: Simplify right side
    90,142x = 4,185,763,696.82
  5. Step 5: Solve for x
    x = 4,185,763,696.82/90,142
  6. Step 6: Final answer
    x = 46,435.22

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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.