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Finding the Fourth Proportional to 139,022.64, 191,849.80 and 77,768.04

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Solution

The fourth proportional to 139,022.64, 191,849.80 and 77,768.04 is: 107,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,022.64 : 191,849.80 = 77,768.04 : x
  2. Step 2: Convert to fraction form
    139,022.64/191,849.80 = 77,768.04/x
  3. Step 3: Cross multiply
    139,022.64x = 191,849.80 × 77,768.04
  4. Step 4: Simplify right side
    139,022.64x = 14,919,782,570.36
  5. Step 5: Solve for x
    x = 14,919,782,570.36/139,022.64
  6. Step 6: Final answer
    x = 107,319.08

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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.