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Finding the Fourth Proportional to 188,889.12, 283,288.32 and 55,733.40

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Solution

The fourth proportional to 188,889.12, 283,288.32 and 55,733.40 is: 83,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889.12 : 283,288.32 = 55,733.40 : x
  2. Step 2: Convert to fraction form
    188,889.12/283,288.32 = 55,733.40/x
  3. Step 3: Cross multiply
    188,889.12x = 283,288.32 × 55,733.40
  4. Step 4: Simplify right side
    188,889.12x = 15,788,621,253.89
  5. Step 5: Solve for x
    x = 15,788,621,253.89/188,889.12
  6. Step 6: Final answer
    x = 83,586.72

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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.