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Finding the Fourth Proportional to 201,736.56, 278,312.90 and 120,048.46

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Solution

The fourth proportional to 201,736.56, 278,312.90 and 120,048.46 is: 165,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,736.56 : 278,312.90 = 120,048.46 : x
  2. Step 2: Convert to fraction form
    201,736.56/278,312.90 = 120,048.46/x
  3. Step 3: Cross multiply
    201,736.56x = 278,312.90 × 120,048.46
  4. Step 4: Simplify right side
    201,736.56x = 33,411,035,151.40
  5. Step 5: Solve for x
    x = 33,411,035,151.40/201,736.56
  6. Step 6: Final answer
    x = 165,617.15

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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.