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Finding the Fourth Proportional to 78,190.31, 107,902.02 and 42,379.40

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Solution

The fourth proportional to 78,190.31, 107,902.02 and 42,379.40 is: 58,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.31 : 107,902.02 = 42,379.40 : x
  2. Step 2: Convert to fraction form
    78,190.31/107,902.02 = 42,379.40/x
  3. Step 3: Cross multiply
    78,190.31x = 107,902.02 × 42,379.40
  4. Step 4: Simplify right side
    78,190.31x = 4,572,823,295.07
  5. Step 5: Solve for x
    x = 4,572,823,295.07/78,190.31
  6. Step 6: Final answer
    x = 58,483.25

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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.