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Finding the Fourth Proportional to 199,678.29, 299,258.91 and 81,212.01

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Solution

The fourth proportional to 199,678.29, 299,258.91 and 81,212.01 is: 121,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,678.29 : 299,258.91 = 81,212.01 : x
  2. Step 2: Convert to fraction form
    199,678.29/299,258.91 = 81,212.01/x
  3. Step 3: Cross multiply
    199,678.29x = 299,258.91 × 81,212.01
  4. Step 4: Simplify right side
    199,678.29x = 24,303,417,591.51
  5. Step 5: Solve for x
    x = 24,303,417,591.51/199,678.29
  6. Step 6: Final answer
    x = 121,712.87

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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.