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Finding the Fourth Proportional to 189,840.24, 261,976.32 and 135,492.48

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Solution

The fourth proportional to 189,840.24, 261,976.32 and 135,492.48 is: 186,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,840.24 : 261,976.32 = 135,492.48 : x
  2. Step 2: Convert to fraction form
    189,840.24/261,976.32 = 135,492.48/x
  3. Step 3: Cross multiply
    189,840.24x = 261,976.32 × 135,492.48
  4. Step 4: Simplify right side
    189,840.24x = 35,495,821,298.07
  5. Step 5: Solve for x
    x = 35,495,821,298.07/189,840.24
  6. Step 6: Final answer
    x = 186,977.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.