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Finding the Fourth Proportional to 201,825.34, 278,515.47 and 116,950.30

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Solution

The fourth proportional to 201,825.34, 278,515.47 and 116,950.30 is: 161,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825.34 : 278,515.47 = 116,950.30 : x
  2. Step 2: Convert to fraction form
    201,825.34/278,515.47 = 116,950.30/x
  3. Step 3: Cross multiply
    201,825.34x = 278,515.47 × 116,950.30
  4. Step 4: Simplify right side
    201,825.34x = 32,572,467,771.14
  5. Step 5: Solve for x
    x = 32,572,467,771.14/201,825.34
  6. Step 6: Final answer
    x = 161,389.39

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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.