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Finding the Fourth Proportional to 135,408.92, 186,835.28 and 81,693.16

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Solution

The fourth proportional to 135,408.92, 186,835.28 and 81,693.16 is: 112,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408.92 : 186,835.28 = 81,693.16 : x
  2. Step 2: Convert to fraction form
    135,408.92/186,835.28 = 81,693.16/x
  3. Step 3: Cross multiply
    135,408.92x = 186,835.28 × 81,693.16
  4. Step 4: Simplify right side
    135,408.92x = 15,263,163,547.13
  5. Step 5: Solve for x
    x = 15,263,163,547.13/135,408.92
  6. Step 6: Final answer
    x = 112,719.04

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Why These Related Problems?

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