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Finding the Fourth Proportional to 76,396.74, 114,529.95 and 28,985.31

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Solution

The fourth proportional to 76,396.74, 114,529.95 and 28,985.31 is: 43,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.74 : 114,529.95 = 28,985.31 : x
  2. Step 2: Convert to fraction form
    76,396.74/114,529.95 = 28,985.31/x
  3. Step 3: Cross multiply
    76,396.74x = 114,529.95 × 28,985.31
  4. Step 4: Simplify right side
    76,396.74x = 3,319,686,105.03
  5. Step 5: Solve for x
    x = 3,319,686,105.03/76,396.74
  6. Step 6: Final answer
    x = 43,453.24

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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.