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Finding the Fourth Proportional to 201,116.79, 301,674.92 and 51,357

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Solution

The fourth proportional to 201,116.79, 301,674.92 and 51,357 is: 77,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.79 : 301,674.92 = 51,357 : x
  2. Step 2: Convert to fraction form
    201,116.79/301,674.92 = 51,357/x
  3. Step 3: Cross multiply
    201,116.79x = 301,674.92 × 51,357
  4. Step 4: Simplify right side
    201,116.79x = 15,493,118,994.83
  5. Step 5: Solve for x
    x = 15,493,118,994.83/201,116.79
  6. Step 6: Final answer
    x = 77,035.43

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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.