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Finding the Fourth Proportional to 101,884.32, 140,602 and 57,171.36

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Solution

The fourth proportional to 101,884.32, 140,602 and 57,171.36 is: 78,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,884.32 : 140,602 = 57,171.36 : x
  2. Step 2: Convert to fraction form
    101,884.32/140,602 = 57,171.36/x
  3. Step 3: Cross multiply
    101,884.32x = 140,602 × 57,171.36
  4. Step 4: Simplify right side
    101,884.32x = 8,038,407,558.72
  5. Step 5: Solve for x
    x = 8,038,407,558.72/101,884.32
  6. Step 6: Final answer
    x = 78,897.40

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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.