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Finding the Fourth Proportional to 78,198.08, 107,912.93 and 42,387.98

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Solution

The fourth proportional to 78,198.08, 107,912.93 and 42,387.98 is: 58,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.08 : 107,912.93 = 42,387.98 : x
  2. Step 2: Convert to fraction form
    78,198.08/107,912.93 = 42,387.98/x
  3. Step 3: Cross multiply
    78,198.08x = 107,912.93 × 42,387.98
  4. Step 4: Simplify right side
    78,198.08x = 4,574,210,367.08
  5. Step 5: Solve for x
    x = 4,574,210,367.08/78,198.08
  6. Step 6: Final answer
    x = 58,495.18

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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.