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Finding the Fourth Proportional to 140,420.40, 193,793.40 and 76,767.60

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Solution

The fourth proportional to 140,420.40, 193,793.40 and 76,767.60 is: 105,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,420.40 : 193,793.40 = 76,767.60 : x
  2. Step 2: Convert to fraction form
    140,420.40/193,793.40 = 76,767.60/x
  3. Step 3: Cross multiply
    140,420.40x = 193,793.40 × 76,767.60
  4. Step 4: Simplify right side
    140,420.40x = 14,877,054,213.84
  5. Step 5: Solve for x
    x = 14,877,054,213.84/140,420.40
  6. Step 6: Final answer
    x = 105,946.53

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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.