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Finding the Fourth Proportional to 98,806.56, 148,209.12 and 83,980.32

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Solution

The fourth proportional to 98,806.56, 148,209.12 and 83,980.32 is: 125,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,806.56 : 148,209.12 = 83,980.32 : x
  2. Step 2: Convert to fraction form
    98,806.56/148,209.12 = 83,980.32/x
  3. Step 3: Cross multiply
    98,806.56x = 148,209.12 × 83,980.32
  4. Step 4: Simplify right side
    98,806.56x = 12,446,649,324.52
  5. Step 5: Solve for x
    x = 12,446,649,324.52/98,806.56
  6. Step 6: Final answer
    x = 125,969.87

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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.