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Finding the Fourth Proportional to 185,689.44, 256,254.56 and 100,806.50

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Solution

The fourth proportional to 185,689.44, 256,254.56 and 100,806.50 is: 139,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,689.44 : 256,254.56 = 100,806.50 : x
  2. Step 2: Convert to fraction form
    185,689.44/256,254.56 = 100,806.50/x
  3. Step 3: Cross multiply
    185,689.44x = 256,254.56 × 100,806.50
  4. Step 4: Simplify right side
    185,689.44x = 25,832,125,302.64
  5. Step 5: Solve for x
    x = 25,832,125,302.64/185,689.44
  6. Step 6: Final answer
    x = 139,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.