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Finding the Fourth Proportional to 189,472, 284,386.74 and 139,399.60

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Solution

The fourth proportional to 189,472, 284,386.74 and 139,399.60 is: 209,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,472 : 284,386.74 = 139,399.60 : x
  2. Step 2: Convert to fraction form
    189,472/284,386.74 = 139,399.60/x
  3. Step 3: Cross multiply
    189,472x = 284,386.74 × 139,399.60
  4. Step 4: Simplify right side
    189,472x = 39,643,397,801.30
  5. Step 5: Solve for x
    x = 39,643,397,801.30/189,472
  6. Step 6: Final answer
    x = 209,230.90

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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.