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Finding the Fourth Proportional to 143,604, 198,178.08 and 89,871.84

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Solution

The fourth proportional to 143,604, 198,178.08 and 89,871.84 is: 124,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,604 : 198,178.08 = 89,871.84 : x
  2. Step 2: Convert to fraction form
    143,604/198,178.08 = 89,871.84/x
  3. Step 3: Cross multiply
    143,604x = 198,178.08 × 89,871.84
  4. Step 4: Simplify right side
    143,604x = 17,810,628,697.27
  5. Step 5: Solve for x
    x = 17,810,628,697.27/143,604
  6. Step 6: Final answer
    x = 124,025.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.