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Finding the Fourth Proportional to 78,003.88, 117,020.43 and 31,260.40

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Solution

The fourth proportional to 78,003.88, 117,020.43 and 31,260.40 is: 46,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003.88 : 117,020.43 = 31,260.40 : x
  2. Step 2: Convert to fraction form
    78,003.88/117,020.43 = 31,260.40/x
  3. Step 3: Cross multiply
    78,003.88x = 117,020.43 × 31,260.40
  4. Step 4: Simplify right side
    78,003.88x = 3,658,105,157.42
  5. Step 5: Solve for x
    x = 3,658,105,157.42/78,003.88
  6. Step 6: Final answer
    x = 46,896.45

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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.