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Finding the Fourth Proportional to 243,012.96, 364,519.44 and 76,788

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Solution

The fourth proportional to 243,012.96, 364,519.44 and 76,788 is: 115,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,012.96 : 364,519.44 = 76,788 : x
  2. Step 2: Convert to fraction form
    243,012.96/364,519.44 = 76,788/x
  3. Step 3: Cross multiply
    243,012.96x = 364,519.44 × 76,788
  4. Step 4: Simplify right side
    243,012.96x = 27,990,718,758.72
  5. Step 5: Solve for x
    x = 27,990,718,758.72/243,012.96
  6. Step 6: Final answer
    x = 115,182.00

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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.