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Finding the Fourth Proportional to 114,006.80, 171,010.20 and 30,900.80

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Solution

The fourth proportional to 114,006.80, 171,010.20 and 30,900.80 is: 46,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,006.80 : 171,010.20 = 30,900.80 : x
  2. Step 2: Convert to fraction form
    114,006.80/171,010.20 = 30,900.80/x
  3. Step 3: Cross multiply
    114,006.80x = 171,010.20 × 30,900.80
  4. Step 4: Simplify right side
    114,006.80x = 5,284,351,988.16
  5. Step 5: Solve for x
    x = 5,284,351,988.16/114,006.80
  6. Step 6: Final answer
    x = 46,351.20

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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.