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Finding the Fourth Proportional to 90,648.16, 125,093.64 and 50,362

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Solution

The fourth proportional to 90,648.16, 125,093.64 and 50,362 is: 69,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,648.16 : 125,093.64 = 50,362 : x
  2. Step 2: Convert to fraction form
    90,648.16/125,093.64 = 50,362/x
  3. Step 3: Cross multiply
    90,648.16x = 125,093.64 × 50,362
  4. Step 4: Simplify right side
    90,648.16x = 6,299,965,897.68
  5. Step 5: Solve for x
    x = 6,299,965,897.68/90,648.16
  6. Step 6: Final answer
    x = 69,499.10

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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.