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Finding the Fourth Proportional to 252,186.76, 378,293.10 and 65,199.88

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Solution

The fourth proportional to 252,186.76, 378,293.10 and 65,199.88 is: 97,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,186.76 : 378,293.10 = 65,199.88 : x
  2. Step 2: Convert to fraction form
    252,186.76/378,293.10 = 65,199.88/x
  3. Step 3: Cross multiply
    252,186.76x = 378,293.10 × 65,199.88
  4. Step 4: Simplify right side
    252,186.76x = 24,664,664,724.83
  5. Step 5: Solve for x
    x = 24,664,664,724.83/252,186.76
  6. Step 6: Final answer
    x = 97,803.17

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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.