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Finding the Fourth Proportional to 286,365.26, 429,562.71 and 73,135.16

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Solution

The fourth proportional to 286,365.26, 429,562.71 and 73,135.16 is: 109,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,365.26 : 429,562.71 = 73,135.16 : x
  2. Step 2: Convert to fraction form
    286,365.26/429,562.71 = 73,135.16/x
  3. Step 3: Cross multiply
    286,365.26x = 429,562.71 × 73,135.16
  4. Step 4: Simplify right side
    286,365.26x = 31,416,137,525.88
  5. Step 5: Solve for x
    x = 31,416,137,525.88/286,365.26
  6. Step 6: Final answer
    x = 109,706.52

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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.