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Finding the Fourth Proportional to 286,143.82, 429,218.70 and 86,465.86

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Solution

The fourth proportional to 286,143.82, 429,218.70 and 86,465.86 is: 129,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.82 : 429,218.70 = 86,465.86 : x
  2. Step 2: Convert to fraction form
    286,143.82/429,218.70 = 86,465.86/x
  3. Step 3: Cross multiply
    286,143.82x = 429,218.70 × 86,465.86
  4. Step 4: Simplify right side
    286,143.82x = 37,112,764,023.58
  5. Step 5: Solve for x
    x = 37,112,764,023.58/286,143.82
  6. Step 6: Final answer
    x = 129,699.69

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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.