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Finding the Fourth Proportional to 87,224.40, 130,577.40 and 77,893.20

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Solution

The fourth proportional to 87,224.40, 130,577.40 and 77,893.20 is: 116,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,224.40 : 130,577.40 = 77,893.20 : x
  2. Step 2: Convert to fraction form
    87,224.40/130,577.40 = 77,893.20/x
  3. Step 3: Cross multiply
    87,224.40x = 130,577.40 × 77,893.20
  4. Step 4: Simplify right side
    87,224.40x = 10,171,091,533.68
  5. Step 5: Solve for x
    x = 10,171,091,533.68/87,224.40
  6. Step 6: Final answer
    x = 116,608.33

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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.