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Finding the Fourth Proportional to 100,296.47, 138,403.50 and 54,965.81

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Solution

The fourth proportional to 100,296.47, 138,403.50 and 54,965.81 is: 75,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.47 : 138,403.50 = 54,965.81 : x
  2. Step 2: Convert to fraction form
    100,296.47/138,403.50 = 54,965.81/x
  3. Step 3: Cross multiply
    100,296.47x = 138,403.50 × 54,965.81
  4. Step 4: Simplify right side
    100,296.47x = 7,607,460,484.34
  5. Step 5: Solve for x
    x = 7,607,460,484.34/100,296.47
  6. Step 6: Final answer
    x = 75,849.73

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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.