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Finding the Fourth Proportional to 228,083, 314,764.26 and 127,481

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Solution

The fourth proportional to 228,083, 314,764.26 and 127,481 is: 175,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,083 : 314,764.26 = 127,481 : x
  2. Step 2: Convert to fraction form
    228,083/314,764.26 = 127,481/x
  3. Step 3: Cross multiply
    228,083x = 314,764.26 × 127,481
  4. Step 4: Simplify right side
    228,083x = 40,126,462,629.06
  5. Step 5: Solve for x
    x = 40,126,462,629.06/228,083
  6. Step 6: Final answer
    x = 175,929.21

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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.