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Finding the Fourth Proportional to 109,977.60, 164,577.60 and 74,985.60

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Solution

The fourth proportional to 109,977.60, 164,577.60 and 74,985.60 is: 112,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,977.60 : 164,577.60 = 74,985.60 : x
  2. Step 2: Convert to fraction form
    109,977.60/164,577.60 = 74,985.60/x
  3. Step 3: Cross multiply
    109,977.60x = 164,577.60 × 74,985.60
  4. Step 4: Simplify right side
    109,977.60x = 12,340,950,082.56
  5. Step 5: Solve for x
    x = 12,340,950,082.56/109,977.60
  6. Step 6: Final answer
    x = 112,213.31

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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.