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Finding the Fourth Proportional to 140,751.56, 194,237.12 and 77,089.52

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Solution

The fourth proportional to 140,751.56, 194,237.12 and 77,089.52 is: 106,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751.56 : 194,237.12 = 77,089.52 : x
  2. Step 2: Convert to fraction form
    140,751.56/194,237.12 = 77,089.52/x
  3. Step 3: Cross multiply
    140,751.56x = 194,237.12 × 77,089.52
  4. Step 4: Simplify right side
    140,751.56x = 14,973,646,346.98
  5. Step 5: Solve for x
    x = 14,973,646,346.98/140,751.56
  6. Step 6: Final answer
    x = 106,383.52

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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.