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Finding the Fourth Proportional to 189,459.40, 283,814.70 and 122,945.80

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Solution

The fourth proportional to 189,459.40, 283,814.70 and 122,945.80 is: 184,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,459.40 : 283,814.70 = 122,945.80 : x
  2. Step 2: Convert to fraction form
    189,459.40/283,814.70 = 122,945.80/x
  3. Step 3: Cross multiply
    189,459.40x = 283,814.70 × 122,945.80
  4. Step 4: Simplify right side
    189,459.40x = 34,893,825,343.26
  5. Step 5: Solve for x
    x = 34,893,825,343.26/189,459.40
  6. Step 6: Final answer
    x = 184,175.74

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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.