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Finding the Fourth Proportional to 149,707.64, 206,631.27 and 98,729.57

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Solution

The fourth proportional to 149,707.64, 206,631.27 and 98,729.57 is: 136,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,707.64 : 206,631.27 = 98,729.57 : x
  2. Step 2: Convert to fraction form
    149,707.64/206,631.27 = 98,729.57/x
  3. Step 3: Cross multiply
    149,707.64x = 206,631.27 × 98,729.57
  4. Step 4: Simplify right side
    149,707.64x = 20,400,615,402.50
  5. Step 5: Solve for x
    x = 20,400,615,402.50/149,707.64
  6. Step 6: Final answer
    x = 136,269.71

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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.