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Finding the Fourth Proportional to 78,401.64, 117,606.30 and 22,993

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Solution

The fourth proportional to 78,401.64, 117,606.30 and 22,993 is: 34,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401.64 : 117,606.30 = 22,993 : x
  2. Step 2: Convert to fraction form
    78,401.64/117,606.30 = 22,993/x
  3. Step 3: Cross multiply
    78,401.64x = 117,606.30 × 22,993
  4. Step 4: Simplify right side
    78,401.64x = 2,704,121,655.90
  5. Step 5: Solve for x
    x = 2,704,121,655.90/78,401.64
  6. Step 6: Final answer
    x = 34,490.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.