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Finding the Fourth Proportional to 142,751.80, 196,908.37 and 91,830.93

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Solution

The fourth proportional to 142,751.80, 196,908.37 and 91,830.93 is: 126,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,751.80 : 196,908.37 = 91,830.93 : x
  2. Step 2: Convert to fraction form
    142,751.80/196,908.37 = 91,830.93/x
  3. Step 3: Cross multiply
    142,751.80x = 196,908.37 × 91,830.93
  4. Step 4: Simplify right side
    142,751.80x = 18,082,278,741.88
  5. Step 5: Solve for x
    x = 18,082,278,741.88/142,751.80
  6. Step 6: Final answer
    x = 126,669.36

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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.