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Finding the Fourth Proportional to 193,143.60, 289,715.40 and 158,583.60

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Solution

The fourth proportional to 193,143.60, 289,715.40 and 158,583.60 is: 237,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,143.60 : 289,715.40 = 158,583.60 : x
  2. Step 2: Convert to fraction form
    193,143.60/289,715.40 = 158,583.60/x
  3. Step 3: Cross multiply
    193,143.60x = 289,715.40 × 158,583.60
  4. Step 4: Simplify right side
    193,143.60x = 45,944,111,107.44
  5. Step 5: Solve for x
    x = 45,944,111,107.44/193,143.60
  6. Step 6: Final answer
    x = 237,875.40

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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.