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Finding the Fourth Proportional to 189,740.69, 283,950.81 and 117,659.91

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Solution

The fourth proportional to 189,740.69, 283,950.81 and 117,659.91 is: 176,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,740.69 : 283,950.81 = 117,659.91 : x
  2. Step 2: Convert to fraction form
    189,740.69/283,950.81 = 117,659.91/x
  3. Step 3: Cross multiply
    189,740.69x = 283,950.81 × 117,659.91
  4. Step 4: Simplify right side
    189,740.69x = 33,409,626,749.03
  5. Step 5: Solve for x
    x = 33,409,626,749.03/189,740.69
  6. Step 6: Final answer
    x = 176,080.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.