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Finding the Fourth Proportional to 138,200.86, 207,351.17 and 48,256.84

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Solution

The fourth proportional to 138,200.86, 207,351.17 and 48,256.84 is: 72,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200.86 : 207,351.17 = 48,256.84 : x
  2. Step 2: Convert to fraction form
    138,200.86/207,351.17 = 48,256.84/x
  3. Step 3: Cross multiply
    138,200.86x = 207,351.17 × 48,256.84
  4. Step 4: Simplify right side
    138,200.86x = 10,006,111,538.47
  5. Step 5: Solve for x
    x = 10,006,111,538.47/138,200.86
  6. Step 6: Final answer
    x = 72,402.67

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1.5x scale

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.