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Finding the Fourth Proportional to 200,298.92, 276,599.87 and 128,803.16

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Solution

The fourth proportional to 200,298.92, 276,599.87 and 128,803.16 is: 177,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,298.92 : 276,599.87 = 128,803.16 : x
  2. Step 2: Convert to fraction form
    200,298.92/276,599.87 = 128,803.16/x
  3. Step 3: Cross multiply
    200,298.92x = 276,599.87 × 128,803.16
  4. Step 4: Simplify right side
    200,298.92x = 35,626,937,311.59
  5. Step 5: Solve for x
    x = 35,626,937,311.59/200,298.92
  6. Step 6: Final answer
    x = 177,868.84

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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.