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Finding the Fourth Proportional to 159,204.90, 219,704.58 and 91,220.50

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Solution

The fourth proportional to 159,204.90, 219,704.58 and 91,220.50 is: 125,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,204.90 : 219,704.58 = 91,220.50 : x
  2. Step 2: Convert to fraction form
    159,204.90/219,704.58 = 91,220.50/x
  3. Step 3: Cross multiply
    159,204.90x = 219,704.58 × 91,220.50
  4. Step 4: Simplify right side
    159,204.90x = 20,041,561,639.89
  5. Step 5: Solve for x
    x = 20,041,561,639.89/159,204.90
  6. Step 6: Final answer
    x = 125,885.33

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1.5x scale

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.