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Finding the Fourth Proportional to 189,159.38, 283,707.84 and 76,835.06

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Solution

The fourth proportional to 189,159.38, 283,707.84 and 76,835.06 is: 115,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.38 : 283,707.84 = 76,835.06 : x
  2. Step 2: Convert to fraction form
    189,159.38/283,707.84 = 76,835.06/x
  3. Step 3: Cross multiply
    189,159.38x = 283,707.84 × 76,835.06
  4. Step 4: Simplify right side
    189,159.38x = 21,798,708,908.87
  5. Step 5: Solve for x
    x = 21,798,708,908.87/189,159.38
  6. Step 6: Final answer
    x = 115,239.90

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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.