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Finding the Fourth Proportional to 188,788, 283,225.80 and 64,129.12

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Solution

The fourth proportional to 188,788, 283,225.80 and 64,129.12 is: 96,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,788 : 283,225.80 = 64,129.12 : x
  2. Step 2: Convert to fraction form
    188,788/283,225.80 = 64,129.12/x
  3. Step 3: Cross multiply
    188,788x = 283,225.80 × 64,129.12
  4. Step 4: Simplify right side
    188,788x = 18,163,021,315.30
  5. Step 5: Solve for x
    x = 18,163,021,315.30/188,788
  6. Step 6: Final answer
    x = 96,208.56

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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.