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Finding the Fourth Proportional to 188,115.84, 282,260.16 and 81,532.32

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Solution

The fourth proportional to 188,115.84, 282,260.16 and 81,532.32 is: 122,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,115.84 : 282,260.16 = 81,532.32 : x
  2. Step 2: Convert to fraction form
    188,115.84/282,260.16 = 81,532.32/x
  3. Step 3: Cross multiply
    188,115.84x = 282,260.16 × 81,532.32
  4. Step 4: Simplify right side
    188,115.84x = 23,013,325,688.37
  5. Step 5: Solve for x
    x = 23,013,325,688.37/188,115.84
  6. Step 6: Final answer
    x = 122,335.93

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1.5x scale

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.