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Finding the Fourth Proportional to 188,043.80, 282,065.70 and 77,235.80

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Solution

The fourth proportional to 188,043.80, 282,065.70 and 77,235.80 is: 115,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,043.80 : 282,065.70 = 77,235.80 : x
  2. Step 2: Convert to fraction form
    188,043.80/282,065.70 = 77,235.80/x
  3. Step 3: Cross multiply
    188,043.80x = 282,065.70 × 77,235.80
  4. Step 4: Simplify right side
    188,043.80x = 21,785,569,992.06
  5. Step 5: Solve for x
    x = 21,785,569,992.06/188,043.80
  6. Step 6: Final answer
    x = 115,853.70

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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.