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Finding the Fourth Proportional to 189,751.72, 261,848.77 and 117,187.06

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Solution

The fourth proportional to 189,751.72, 261,848.77 and 117,187.06 is: 161,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.72 : 261,848.77 = 117,187.06 : x
  2. Step 2: Convert to fraction form
    189,751.72/261,848.77 = 117,187.06/x
  3. Step 3: Cross multiply
    189,751.72x = 261,848.77 × 117,187.06
  4. Step 4: Simplify right side
    189,751.72x = 30,685,287,994.71
  5. Step 5: Solve for x
    x = 30,685,287,994.71/189,751.72
  6. Step 6: Final answer
    x = 161,712.83

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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.