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Finding the Fourth Proportional to 70,266.45, 105,405.14 and 20,347.26

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Solution

The fourth proportional to 70,266.45, 105,405.14 and 20,347.26 is: 30,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,266.45 : 105,405.14 = 20,347.26 : x
  2. Step 2: Convert to fraction form
    70,266.45/105,405.14 = 20,347.26/x
  3. Step 3: Cross multiply
    70,266.45x = 105,405.14 × 20,347.26
  4. Step 4: Simplify right side
    70,266.45x = 2,144,705,788.92
  5. Step 5: Solve for x
    x = 2,144,705,788.92/70,266.45
  6. Step 6: Final answer
    x = 30,522.47

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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.