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Finding the Fourth Proportional to 78,791.32, 118,050.72 and 53,097.76

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Solution

The fourth proportional to 78,791.32, 118,050.72 and 53,097.76 is: 79,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,791.32 : 118,050.72 = 53,097.76 : x
  2. Step 2: Convert to fraction form
    78,791.32/118,050.72 = 53,097.76/x
  3. Step 3: Cross multiply
    78,791.32x = 118,050.72 × 53,097.76
  4. Step 4: Simplify right side
    78,791.32x = 6,268,228,798.39
  5. Step 5: Solve for x
    x = 6,268,228,798.39/78,791.32
  6. Step 6: Final answer
    x = 79,554.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.