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Finding the Fourth Proportional to 138,928.60, 208,101.30 and 76,526.20

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Solution

The fourth proportional to 138,928.60, 208,101.30 and 76,526.20 is: 114,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928.60 : 208,101.30 = 76,526.20 : x
  2. Step 2: Convert to fraction form
    138,928.60/208,101.30 = 76,526.20/x
  3. Step 3: Cross multiply
    138,928.60x = 208,101.30 × 76,526.20
  4. Step 4: Simplify right side
    138,928.60x = 15,925,201,704.06
  5. Step 5: Solve for x
    x = 15,925,201,704.06/138,928.60
  6. Step 6: Final answer
    x = 114,628.68

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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.