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Finding the Fourth Proportional to 78,192.38, 107,902.86 and 46,342.37

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Solution

The fourth proportional to 78,192.38, 107,902.86 and 46,342.37 is: 63,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.38 : 107,902.86 = 46,342.37 : x
  2. Step 2: Convert to fraction form
    78,192.38/107,902.86 = 46,342.37/x
  3. Step 3: Cross multiply
    78,192.38x = 107,902.86 × 46,342.37
  4. Step 4: Simplify right side
    78,192.38x = 5,000,474,262.18
  5. Step 5: Solve for x
    x = 5,000,474,262.18/78,192.38
  6. Step 6: Final answer
    x = 63,950.92

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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.