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Finding the Fourth Proportional to 78,201.45, 107,918.15 and 42,391.35

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Solution

The fourth proportional to 78,201.45, 107,918.15 and 42,391.35 is: 58,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.45 : 107,918.15 = 42,391.35 : x
  2. Step 2: Convert to fraction form
    78,201.45/107,918.15 = 42,391.35/x
  3. Step 3: Cross multiply
    78,201.45x = 107,918.15 × 42,391.35
  4. Step 4: Simplify right side
    78,201.45x = 4,574,795,856.05
  5. Step 5: Solve for x
    x = 4,574,795,856.05/78,201.45
  6. Step 6: Final answer
    x = 58,500.14

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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.