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Finding the Fourth Proportional to 70,570.10, 105,871.36 and 20,649

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Solution

The fourth proportional to 70,570.10, 105,871.36 and 20,649 is: 30,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.10 : 105,871.36 = 20,649 : x
  2. Step 2: Convert to fraction form
    70,570.10/105,871.36 = 20,649/x
  3. Step 3: Cross multiply
    70,570.10x = 105,871.36 × 20,649
  4. Step 4: Simplify right side
    70,570.10x = 2,186,137,712.64
  5. Step 5: Solve for x
    x = 2,186,137,712.64/70,570.10
  6. Step 6: Final answer
    x = 30,978.24

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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.