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Finding the Fourth Proportional to 286,164.98, 429,291.29 and 93,978.93

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Solution

The fourth proportional to 286,164.98, 429,291.29 and 93,978.93 is: 140,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.98 : 429,291.29 = 93,978.93 : x
  2. Step 2: Convert to fraction form
    286,164.98/429,291.29 = 93,978.93/x
  3. Step 3: Cross multiply
    286,164.98x = 429,291.29 × 93,978.93
  4. Step 4: Simplify right side
    286,164.98x = 40,344,337,937.31
  5. Step 5: Solve for x
    x = 40,344,337,937.31/286,164.98
  6. Step 6: Final answer
    x = 140,982.79

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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.