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Finding the Fourth Proportional to 265,764, 398,812.02 and 107,992.40

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Solution

The fourth proportional to 265,764, 398,812.02 and 107,992.40 is: 162,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,764 : 398,812.02 = 107,992.40 : x
  2. Step 2: Convert to fraction form
    265,764/398,812.02 = 107,992.40/x
  3. Step 3: Cross multiply
    265,764x = 398,812.02 × 107,992.40
  4. Step 4: Simplify right side
    265,764x = 43,068,666,648.69
  5. Step 5: Solve for x
    x = 43,068,666,648.69/265,764
  6. Step 6: Final answer
    x = 162,056.06

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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.