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Finding the Fourth Proportional to 286,036.44, 429,124.03 and 86,344.90

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Solution

The fourth proportional to 286,036.44, 429,124.03 and 86,344.90 is: 129,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,036.44 : 429,124.03 = 86,344.90 : x
  2. Step 2: Convert to fraction form
    286,036.44/429,124.03 = 86,344.90/x
  3. Step 3: Cross multiply
    286,036.44x = 429,124.03 × 86,344.90
  4. Step 4: Simplify right side
    286,036.44x = 37,052,670,169.27
  5. Step 5: Solve for x
    x = 37,052,670,169.27/286,036.44
  6. Step 6: Final answer
    x = 129,538.29

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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.