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Finding the Fourth Proportional to 70,106.26, 105,159.40 and 20,858.26

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Solution

The fourth proportional to 70,106.26, 105,159.40 and 20,858.26 is: 31,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.26 : 105,159.40 = 20,858.26 : x
  2. Step 2: Convert to fraction form
    70,106.26/105,159.40 = 20,858.26/x
  3. Step 3: Cross multiply
    70,106.26x = 105,159.40 × 20,858.26
  4. Step 4: Simplify right side
    70,106.26x = 2,193,442,106.64
  5. Step 5: Solve for x
    x = 2,193,442,106.64/70,106.26
  6. Step 6: Final answer
    x = 31,287.39

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1.5x scale

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.