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Finding the Fourth Proportional to 121,212.70, 181,819.05 and 85,783.30

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Solution

The fourth proportional to 121,212.70, 181,819.05 and 85,783.30 is: 128,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,212.70 : 181,819.05 = 85,783.30 : x
  2. Step 2: Convert to fraction form
    121,212.70/181,819.05 = 85,783.30/x
  3. Step 3: Cross multiply
    121,212.70x = 181,819.05 × 85,783.30
  4. Step 4: Simplify right side
    121,212.70x = 15,597,038,111.87
  5. Step 5: Solve for x
    x = 15,597,038,111.87/121,212.70
  6. Step 6: Final answer
    x = 128,674.95

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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.