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Finding the Fourth Proportional to 139,009.08, 191,830.44 and 78,577.59

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Solution

The fourth proportional to 139,009.08, 191,830.44 and 78,577.59 is: 108,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,009.08 : 191,830.44 = 78,577.59 : x
  2. Step 2: Convert to fraction form
    139,009.08/191,830.44 = 78,577.59/x
  3. Step 3: Cross multiply
    139,009.08x = 191,830.44 × 78,577.59
  4. Step 4: Simplify right side
    139,009.08x = 15,073,573,663.84
  5. Step 5: Solve for x
    x = 15,073,573,663.84/139,009.08
  6. Step 6: Final answer
    x = 108,435.89

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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.