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Finding the Fourth Proportional to 243,184, 364,777.62 and 76,972

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Solution

The fourth proportional to 243,184, 364,777.62 and 76,972 is: 115,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,184 : 364,777.62 = 76,972 : x
  2. Step 2: Convert to fraction form
    243,184/364,777.62 = 76,972/x
  3. Step 3: Cross multiply
    243,184x = 364,777.62 × 76,972
  4. Step 4: Simplify right side
    243,184x = 28,077,662,966.64
  5. Step 5: Solve for x
    x = 28,077,662,966.64/243,184
  6. Step 6: Final answer
    x = 115,458.51

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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.