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Finding the Fourth Proportional to 189,399.60, 283,902.60 and 77,031.60

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Solution

The fourth proportional to 189,399.60, 283,902.60 and 77,031.60 is: 115,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,399.60 : 283,902.60 = 77,031.60 : x
  2. Step 2: Convert to fraction form
    189,399.60/283,902.60 = 77,031.60/x
  3. Step 3: Cross multiply
    189,399.60x = 283,902.60 × 77,031.60
  4. Step 4: Simplify right side
    189,399.60x = 21,869,471,522.16
  5. Step 5: Solve for x
    x = 21,869,471,522.16/189,399.60
  6. Step 6: Final answer
    x = 115,467.36

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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.