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Finding the Fourth Proportional to 286,093.52, 429,143.52 and 86,415.56

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Solution

The fourth proportional to 286,093.52, 429,143.52 and 86,415.56 is: 129,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,093.52 : 429,143.52 = 86,415.56 : x
  2. Step 2: Convert to fraction form
    286,093.52/429,143.52 = 86,415.56/x
  3. Step 3: Cross multiply
    286,093.52x = 429,143.52 × 86,415.56
  4. Step 4: Simplify right side
    286,093.52x = 37,084,677,601.17
  5. Step 5: Solve for x
    x = 37,084,677,601.17/286,093.52
  6. Step 6: Final answer
    x = 129,624.32

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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.