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Finding the Fourth Proportional to 100,296.48, 138,403.50 and 54,965.82

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Solution

The fourth proportional to 100,296.48, 138,403.50 and 54,965.82 is: 75,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.48 : 138,403.50 = 54,965.82 : x
  2. Step 2: Convert to fraction form
    100,296.48/138,403.50 = 54,965.82/x
  3. Step 3: Cross multiply
    100,296.48x = 138,403.50 × 54,965.82
  4. Step 4: Simplify right side
    100,296.48x = 7,607,461,868.37
  5. Step 5: Solve for x
    x = 7,607,461,868.37/100,296.48
  6. Step 6: Final answer
    x = 75,849.74

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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.