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Finding the Fourth Proportional to 282,137.65, 423,205.05 and 99,903.65

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Solution

The fourth proportional to 282,137.65, 423,205.05 and 99,903.65 is: 149,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.65 : 423,205.05 = 99,903.65 : x
  2. Step 2: Convert to fraction form
    282,137.65/423,205.05 = 99,903.65/x
  3. Step 3: Cross multiply
    282,137.65x = 423,205.05 × 99,903.65
  4. Step 4: Simplify right side
    282,137.65x = 42,279,727,452.05
  5. Step 5: Solve for x
    x = 42,279,727,452.05/282,137.65
  6. Step 6: Final answer
    x = 149,854.97

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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.