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Finding the Fourth Proportional to 159,264.84, 219,793.50 and 91,289.64

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Solution

The fourth proportional to 159,264.84, 219,793.50 and 91,289.64 is: 125,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,264.84 : 219,793.50 = 91,289.64 : x
  2. Step 2: Convert to fraction form
    159,264.84/219,793.50 = 91,289.64/x
  3. Step 3: Cross multiply
    159,264.84x = 219,793.50 × 91,289.64
  4. Step 4: Simplify right side
    159,264.84x = 20,064,869,489.34
  5. Step 5: Solve for x
    x = 20,064,869,489.34/159,264.84
  6. Step 6: Final answer
    x = 125,984.30

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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.