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Finding the Fourth Proportional to 79,688.13, 109,936.65 and 47,416.32

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Solution

The fourth proportional to 79,688.13, 109,936.65 and 47,416.32 is: 65,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,688.13 : 109,936.65 = 47,416.32 : x
  2. Step 2: Convert to fraction form
    79,688.13/109,936.65 = 47,416.32/x
  3. Step 3: Cross multiply
    79,688.13x = 109,936.65 × 47,416.32
  4. Step 4: Simplify right side
    79,688.13x = 5,212,791,376.13
  5. Step 5: Solve for x
    x = 5,212,791,376.13/79,688.13
  6. Step 6: Final answer
    x = 65,414.90

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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.