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Finding the Fourth Proportional to 286,467.72, 429,708.78 and 76,105.32

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Solution

The fourth proportional to 286,467.72, 429,708.78 and 76,105.32 is: 114,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,467.72 : 429,708.78 = 76,105.32 : x
  2. Step 2: Convert to fraction form
    286,467.72/429,708.78 = 76,105.32/x
  3. Step 3: Cross multiply
    286,467.72x = 429,708.78 × 76,105.32
  4. Step 4: Simplify right side
    286,467.72x = 32,703,124,208.71
  5. Step 5: Solve for x
    x = 32,703,124,208.71/286,467.72
  6. Step 6: Final answer
    x = 114,159.89

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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.