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Finding the Fourth Proportional to 257,672.04, 386,618.20 and 133,100.52

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Solution

The fourth proportional to 257,672.04, 386,618.20 and 133,100.52 is: 199,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,672.04 : 386,618.20 = 133,100.52 : x
  2. Step 2: Convert to fraction form
    257,672.04/386,618.20 = 133,100.52/x
  3. Step 3: Cross multiply
    257,672.04x = 386,618.20 × 133,100.52
  4. Step 4: Simplify right side
    257,672.04x = 51,459,083,461.46
  5. Step 5: Solve for x
    x = 51,459,083,461.46/257,672.04
  6. Step 6: Final answer
    x = 199,707.67

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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.