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Finding the Fourth Proportional to 142,407.96, 196,608.26 and 88,765.64

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Solution

The fourth proportional to 142,407.96, 196,608.26 and 88,765.64 is: 122,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407.96 : 196,608.26 = 88,765.64 : x
  2. Step 2: Convert to fraction form
    142,407.96/196,608.26 = 88,765.64/x
  3. Step 3: Cross multiply
    142,407.96x = 196,608.26 × 88,765.64
  4. Step 4: Simplify right side
    142,407.96x = 17,452,058,028.19
  5. Step 5: Solve for x
    x = 17,452,058,028.19/142,407.96
  6. Step 6: Final answer
    x = 122,549.74

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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.