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Finding the Fourth Proportional to 286,365.55, 429,553.78 and 86,685.16

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Solution

The fourth proportional to 286,365.55, 429,553.78 and 86,685.16 is: 130,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,365.55 : 429,553.78 = 86,685.16 : x
  2. Step 2: Convert to fraction form
    286,365.55/429,553.78 = 86,685.16/x
  3. Step 3: Cross multiply
    286,365.55x = 429,553.78 × 86,685.16
  4. Step 4: Simplify right side
    286,365.55x = 37,235,936,000.14
  5. Step 5: Solve for x
    x = 37,235,936,000.14/286,365.55
  6. Step 6: Final answer
    x = 130,029.39

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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.