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Finding the Fourth Proportional to 201,230.56, 277,355.64 and 137,457.64

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Solution

The fourth proportional to 201,230.56, 277,355.64 and 137,457.64 is: 189,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230.56 : 277,355.64 = 137,457.64 : x
  2. Step 2: Convert to fraction form
    201,230.56/277,355.64 = 137,457.64/x
  3. Step 3: Cross multiply
    201,230.56x = 277,355.64 × 137,457.64
  4. Step 4: Simplify right side
    201,230.56x = 38,124,651,715.09
  5. Step 5: Solve for x
    x = 38,124,651,715.09/201,230.56
  6. Step 6: Final answer
    x = 189,457.56

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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.