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Finding the Fourth Proportional to 149,859.34, 206,812.10 and 86,197.21

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Solution

The fourth proportional to 149,859.34, 206,812.10 and 86,197.21 is: 118,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,859.34 : 206,812.10 = 86,197.21 : x
  2. Step 2: Convert to fraction form
    149,859.34/206,812.10 = 86,197.21/x
  3. Step 3: Cross multiply
    149,859.34x = 206,812.10 × 86,197.21
  4. Step 4: Simplify right side
    149,859.34x = 17,826,626,014.24
  5. Step 5: Solve for x
    x = 17,826,626,014.24/149,859.34
  6. Step 6: Final answer
    x = 118,955.72

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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.