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Finding the Fourth Proportional to 75,827.92, 104,588.36 and 65,738.32

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Solution

The fourth proportional to 75,827.92, 104,588.36 and 65,738.32 is: 90,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,827.92 : 104,588.36 = 65,738.32 : x
  2. Step 2: Convert to fraction form
    75,827.92/104,588.36 = 65,738.32/x
  3. Step 3: Cross multiply
    75,827.92x = 104,588.36 × 65,738.32
  4. Step 4: Simplify right side
    75,827.92x = 6,875,463,077.96
  5. Step 5: Solve for x
    x = 6,875,463,077.96/75,827.92
  6. Step 6: Final answer
    x = 90,671.92

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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.