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Finding the Fourth Proportional to 286,140.36, 429,255.72 and 86,435.94

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Solution

The fourth proportional to 286,140.36, 429,255.72 and 86,435.94 is: 129,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,140.36 : 429,255.72 = 86,435.94 : x
  2. Step 2: Convert to fraction form
    286,140.36/429,255.72 = 86,435.94/x
  3. Step 3: Cross multiply
    286,140.36x = 429,255.72 × 86,435.94
  4. Step 4: Simplify right side
    286,140.36x = 37,103,121,658.58
  5. Step 5: Solve for x
    x = 37,103,121,658.58/286,140.36
  6. Step 6: Final answer
    x = 129,667.56

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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.