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Finding the Fourth Proportional to 189,460.40, 283,816.20 and 122,946.80

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Solution

The fourth proportional to 189,460.40, 283,816.20 and 122,946.80 is: 184,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,460.40 : 283,816.20 = 122,946.80 : x
  2. Step 2: Convert to fraction form
    189,460.40/283,816.20 = 122,946.80/x
  3. Step 3: Cross multiply
    189,460.40x = 283,816.20 × 122,946.80
  4. Step 4: Simplify right side
    189,460.40x = 34,894,293,578.16
  5. Step 5: Solve for x
    x = 34,894,293,578.16/189,460.40
  6. Step 6: Final answer
    x = 184,177.24

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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.