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Finding the Fourth Proportional to 138,423.69, 207,464.22 and 98,378.84

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Solution

The fourth proportional to 138,423.69, 207,464.22 and 98,378.84 is: 147,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,423.69 : 207,464.22 = 98,378.84 : x
  2. Step 2: Convert to fraction form
    138,423.69/207,464.22 = 98,378.84/x
  3. Step 3: Cross multiply
    138,423.69x = 207,464.22 × 98,378.84
  4. Step 4: Simplify right side
    138,423.69x = 20,410,089,823.77
  5. Step 5: Solve for x
    x = 20,410,089,823.77/138,423.69
  6. Step 6: Final answer
    x = 147,446.51

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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.