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Finding the Fourth Proportional to 145,871.78, 201,225.92 and 100,471.68

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Solution

The fourth proportional to 145,871.78, 201,225.92 and 100,471.68 is: 138,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.78 : 201,225.92 = 100,471.68 : x
  2. Step 2: Convert to fraction form
    145,871.78/201,225.92 = 100,471.68/x
  3. Step 3: Cross multiply
    145,871.78x = 201,225.92 × 100,471.68
  4. Step 4: Simplify right side
    145,871.78x = 20,217,505,739.59
  5. Step 5: Solve for x
    x = 20,217,505,739.59/145,871.78
  6. Step 6: Final answer
    x = 138,597.79

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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.