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Finding the Fourth Proportional to 286,467.07, 429,745.17 and 86,739.90

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Solution

The fourth proportional to 286,467.07, 429,745.17 and 86,739.90 is: 130,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,467.07 : 429,745.17 = 86,739.90 : x
  2. Step 2: Convert to fraction form
    286,467.07/429,745.17 = 86,739.90/x
  3. Step 3: Cross multiply
    286,467.07x = 429,745.17 × 86,739.90
  4. Step 4: Simplify right side
    286,467.07x = 37,276,053,071.28
  5. Step 5: Solve for x
    x = 37,276,053,071.28/286,467.07
  6. Step 6: Final answer
    x = 130,123.34

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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.