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Finding the Fourth Proportional to 90,178, 124,442.24 and 49,893.48

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Solution

The fourth proportional to 90,178, 124,442.24 and 49,893.48 is: 68,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,178 : 124,442.24 = 49,893.48 : x
  2. Step 2: Convert to fraction form
    90,178/124,442.24 = 49,893.48/x
  3. Step 3: Cross multiply
    90,178x = 124,442.24 × 49,893.48
  4. Step 4: Simplify right side
    90,178x = 6,208,856,412.60
  5. Step 5: Solve for x
    x = 6,208,856,412.60/90,178
  6. Step 6: Final answer
    x = 68,851.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.