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Finding the Fourth Proportional to 70,138.85, 105,207.80 and 17,548.31

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Solution

The fourth proportional to 70,138.85, 105,207.80 and 17,548.31 is: 26,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.85 : 105,207.80 = 17,548.31 : x
  2. Step 2: Convert to fraction form
    70,138.85/105,207.80 = 17,548.31/x
  3. Step 3: Cross multiply
    70,138.85x = 105,207.80 × 17,548.31
  4. Step 4: Simplify right side
    70,138.85x = 1,846,219,264.10
  5. Step 5: Solve for x
    x = 1,846,219,264.10/70,138.85
  6. Step 6: Final answer
    x = 26,322.35

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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.