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Finding the Fourth Proportional to 189,873.90, 284,561.71 and 139,719.15

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Solution

The fourth proportional to 189,873.90, 284,561.71 and 139,719.15 is: 209,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,873.90 : 284,561.71 = 139,719.15 : x
  2. Step 2: Convert to fraction form
    189,873.90/284,561.71 = 139,719.15/x
  3. Step 3: Cross multiply
    189,873.90x = 284,561.71 × 139,719.15
  4. Step 4: Simplify right side
    189,873.90x = 39,758,719,894.45
  5. Step 5: Solve for x
    x = 39,758,719,894.45/189,873.90
  6. Step 6: Final answer
    x = 209,395.39

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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.