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Finding the Fourth Proportional to 265,278.96, 397,905.48 and 99,054

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Solution

The fourth proportional to 265,278.96, 397,905.48 and 99,054 is: 148,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,278.96 : 397,905.48 = 99,054 : x
  2. Step 2: Convert to fraction form
    265,278.96/397,905.48 = 99,054/x
  3. Step 3: Cross multiply
    265,278.96x = 397,905.48 × 99,054
  4. Step 4: Simplify right side
    265,278.96x = 39,414,129,415.92
  5. Step 5: Solve for x
    x = 39,414,129,415.92/265,278.96
  6. Step 6: Final answer
    x = 148,576.16

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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.