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Finding the Fourth Proportional to 189,661.58, 284,453.76 and 69,677.30

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Solution

The fourth proportional to 189,661.58, 284,453.76 and 69,677.30 is: 104,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,661.58 : 284,453.76 = 69,677.30 : x
  2. Step 2: Convert to fraction form
    189,661.58/284,453.76 = 69,677.30/x
  3. Step 3: Cross multiply
    189,661.58x = 284,453.76 × 69,677.30
  4. Step 4: Simplify right side
    189,661.58x = 19,819,968,200.99
  5. Step 5: Solve for x
    x = 19,819,968,200.99/189,661.58
  6. Step 6: Final answer
    x = 104,501.76

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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.