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Finding the Fourth Proportional to 107,355.80, 160,839.30 and 91,803.80

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Solution

The fourth proportional to 107,355.80, 160,839.30 and 91,803.80 is: 137,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,355.80 : 160,839.30 = 91,803.80 : x
  2. Step 2: Convert to fraction form
    107,355.80/160,839.30 = 91,803.80/x
  3. Step 3: Cross multiply
    107,355.80x = 160,839.30 × 91,803.80
  4. Step 4: Simplify right side
    107,355.80x = 14,765,658,929.34
  5. Step 5: Solve for x
    x = 14,765,658,929.34/107,355.80
  6. Step 6: Final answer
    x = 137,539.46

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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.