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Finding the Fourth Proportional to 160,947, 222,106.86 and 104,358.78

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Solution

The fourth proportional to 160,947, 222,106.86 and 104,358.78 is: 144,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947 : 222,106.86 = 104,358.78 : x
  2. Step 2: Convert to fraction form
    160,947/222,106.86 = 104,358.78/x
  3. Step 3: Cross multiply
    160,947x = 222,106.86 × 104,358.78
  4. Step 4: Simplify right side
    160,947x = 23,178,800,939.23
  5. Step 5: Solve for x
    x = 23,178,800,939.23/160,947
  6. Step 6: Final answer
    x = 144,015.12

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1.5x scale

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.