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Finding the Fourth Proportional to 102,879.62, 141,973.16 and 57,557.42

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Solution

The fourth proportional to 102,879.62, 141,973.16 and 57,557.42 is: 79,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,879.62 : 141,973.16 = 57,557.42 : x
  2. Step 2: Convert to fraction form
    102,879.62/141,973.16 = 57,557.42/x
  3. Step 3: Cross multiply
    102,879.62x = 141,973.16 × 57,557.42
  4. Step 4: Simplify right side
    102,879.62x = 8,171,608,798.85
  5. Step 5: Solve for x
    x = 8,171,608,798.85/102,879.62
  6. Step 6: Final answer
    x = 79,428.84

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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.