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Finding the Fourth Proportional to 100,464.78, 138,551.28 and 75,032.76

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Solution

The fourth proportional to 100,464.78, 138,551.28 and 75,032.76 is: 103,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.78 : 138,551.28 = 75,032.76 : x
  2. Step 2: Convert to fraction form
    100,464.78/138,551.28 = 75,032.76/x
  3. Step 3: Cross multiply
    100,464.78x = 138,551.28 × 75,032.76
  4. Step 4: Simplify right side
    100,464.78x = 10,395,884,939.93
  5. Step 5: Solve for x
    x = 10,395,884,939.93/100,464.78
  6. Step 6: Final answer
    x = 103,477.90

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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.