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Finding the Fourth Proportional to 286,129.11, 429,173.80 and 86,450.54

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Solution

The fourth proportional to 286,129.11, 429,173.80 and 86,450.54 is: 129,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,129.11 : 429,173.80 = 86,450.54 : x
  2. Step 2: Convert to fraction form
    286,129.11/429,173.80 = 86,450.54/x
  3. Step 3: Cross multiply
    286,129.11x = 429,173.80 × 86,450.54
  4. Step 4: Simplify right side
    286,129.11x = 37,102,307,620.66
  5. Step 5: Solve for x
    x = 37,102,307,620.66/286,129.11
  6. Step 6: Final answer
    x = 129,669.81

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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.