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Finding the Fourth Proportional to 70,454.80, 105,672.60 and 21,206.80

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Solution

The fourth proportional to 70,454.80, 105,672.60 and 21,206.80 is: 31,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454.80 : 105,672.60 = 21,206.80 : x
  2. Step 2: Convert to fraction form
    70,454.80/105,672.60 = 21,206.80/x
  3. Step 3: Cross multiply
    70,454.80x = 105,672.60 × 21,206.80
  4. Step 4: Simplify right side
    70,454.80x = 2,240,977,693.68
  5. Step 5: Solve for x
    x = 2,240,977,693.68/70,454.80
  6. Step 6: Final answer
    x = 31,807.31

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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.