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Finding the Fourth Proportional to 106,806.60, 159,864.30 and 98,512.20

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Solution

The fourth proportional to 106,806.60, 159,864.30 and 98,512.20 is: 147,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.60 : 159,864.30 = 98,512.20 : x
  2. Step 2: Convert to fraction form
    106,806.60/159,864.30 = 98,512.20/x
  3. Step 3: Cross multiply
    106,806.60x = 159,864.30 × 98,512.20
  4. Step 4: Simplify right side
    106,806.60x = 15,748,583,894.46
  5. Step 5: Solve for x
    x = 15,748,583,894.46/106,806.60
  6. Step 6: Final answer
    x = 147,449.54

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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.