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Finding the Fourth Proportional to 145,703.69, 201,074.78 and 82,043.63

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Solution

The fourth proportional to 145,703.69, 201,074.78 and 82,043.63 is: 113,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,703.69 : 201,074.78 = 82,043.63 : x
  2. Step 2: Convert to fraction form
    145,703.69/201,074.78 = 82,043.63/x
  3. Step 3: Cross multiply
    145,703.69x = 201,074.78 × 82,043.63
  4. Step 4: Simplify right side
    145,703.69x = 16,496,904,852.65
  5. Step 5: Solve for x
    x = 16,496,904,852.65/145,703.69
  6. Step 6: Final answer
    x = 113,222.29

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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.