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Finding the Fourth Proportional to 201,669.21, 278,302.03 and 111,026.77

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Solution

The fourth proportional to 201,669.21, 278,302.03 and 111,026.77 is: 153,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,669.21 : 278,302.03 = 111,026.77 : x
  2. Step 2: Convert to fraction form
    201,669.21/278,302.03 = 111,026.77/x
  3. Step 3: Cross multiply
    201,669.21x = 278,302.03 × 111,026.77
  4. Step 4: Simplify right side
    201,669.21x = 30,898,974,502.02
  5. Step 5: Solve for x
    x = 30,898,974,502.02/201,669.21
  6. Step 6: Final answer
    x = 153,216.12

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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.