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Finding the Fourth Proportional to 55,388, 76,435.76 and 30,237.76

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Solution

The fourth proportional to 55,388, 76,435.76 and 30,237.76 is: 41,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,388 : 76,435.76 = 30,237.76 : x
  2. Step 2: Convert to fraction form
    55,388/76,435.76 = 30,237.76/x
  3. Step 3: Cross multiply
    55,388x = 76,435.76 × 30,237.76
  4. Step 4: Simplify right side
    55,388x = 2,311,246,166.30
  5. Step 5: Solve for x
    x = 2,311,246,166.30/55,388
  6. Step 6: Final answer
    x = 41,728.28

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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.