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Finding the Fourth Proportional to 100,009.08, 138,025.50 and 57,004.02

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Solution

The fourth proportional to 100,009.08, 138,025.50 and 57,004.02 is: 78,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,009.08 : 138,025.50 = 57,004.02 : x
  2. Step 2: Convert to fraction form
    100,009.08/138,025.50 = 57,004.02/x
  3. Step 3: Cross multiply
    100,009.08x = 138,025.50 × 57,004.02
  4. Step 4: Simplify right side
    100,009.08x = 7,868,008,640.30
  5. Step 5: Solve for x
    x = 7,868,008,640.30/100,009.08
  6. Step 6: Final answer
    x = 78,672.94

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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.