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Finding the Fourth Proportional to 286,016.82, 429,028.28 and 86,338.86

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Solution

The fourth proportional to 286,016.82, 429,028.28 and 86,338.86 is: 129,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,016.82 : 429,028.28 = 86,338.86 : x
  2. Step 2: Convert to fraction form
    286,016.82/429,028.28 = 86,338.86/x
  3. Step 3: Cross multiply
    286,016.82x = 429,028.28 × 86,338.86
  4. Step 4: Simplify right side
    286,016.82x = 37,041,812,171.27
  5. Step 5: Solve for x
    x = 37,041,812,171.27/286,016.82
  6. Step 6: Final answer
    x = 129,509.21

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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.