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Finding the Fourth Proportional to 185,583.84, 278,375.63 and 106,647.72

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Solution

The fourth proportional to 185,583.84, 278,375.63 and 106,647.72 is: 159,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,583.84 : 278,375.63 = 106,647.72 : x
  2. Step 2: Convert to fraction form
    185,583.84/278,375.63 = 106,647.72/x
  3. Step 3: Cross multiply
    185,583.84x = 278,375.63 × 106,647.72
  4. Step 4: Simplify right side
    185,583.84x = 29,688,125,709.83
  5. Step 5: Solve for x
    x = 29,688,125,709.83/185,583.84
  6. Step 6: Final answer
    x = 159,971.50

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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.