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Finding the Fourth Proportional to 200,037.60, 276,078 and 115,158.24

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Solution

The fourth proportional to 200,037.60, 276,078 and 115,158.24 is: 158,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,037.60 : 276,078 = 115,158.24 : x
  2. Step 2: Convert to fraction form
    200,037.60/276,078 = 115,158.24/x
  3. Step 3: Cross multiply
    200,037.60x = 276,078 × 115,158.24
  4. Step 4: Simplify right side
    200,037.60x = 31,792,656,582.72
  5. Step 5: Solve for x
    x = 31,792,656,582.72/200,037.60
  6. Step 6: Final answer
    x = 158,933.40

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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.