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Finding the Fourth Proportional to 138,190.56, 190,698.24 and 77,763.84

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Solution

The fourth proportional to 138,190.56, 190,698.24 and 77,763.84 is: 107,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,190.56 : 190,698.24 = 77,763.84 : x
  2. Step 2: Convert to fraction form
    138,190.56/190,698.24 = 77,763.84/x
  3. Step 3: Cross multiply
    138,190.56x = 190,698.24 × 77,763.84
  4. Step 4: Simplify right side
    138,190.56x = 14,829,427,423.64
  5. Step 5: Solve for x
    x = 14,829,427,423.64/138,190.56
  6. Step 6: Final answer
    x = 107,311.44

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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.