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Finding the Fourth Proportional to 140,762.60, 194,252.40 and 77,100.56

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Solution

The fourth proportional to 140,762.60, 194,252.40 and 77,100.56 is: 106,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,762.60 : 194,252.40 = 77,100.56 : x
  2. Step 2: Convert to fraction form
    140,762.60/194,252.40 = 77,100.56/x
  3. Step 3: Cross multiply
    140,762.60x = 194,252.40 × 77,100.56
  4. Step 4: Simplify right side
    140,762.60x = 14,976,968,821.34
  5. Step 5: Solve for x
    x = 14,976,968,821.34/140,762.60
  6. Step 6: Final answer
    x = 106,398.78

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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.