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Finding the Fourth Proportional to 74,880, 112,406.40 and 38,021.76

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Solution

The fourth proportional to 74,880, 112,406.40 and 38,021.76 is: 57,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,880 : 112,406.40 = 38,021.76 : x
  2. Step 2: Convert to fraction form
    74,880/112,406.40 = 38,021.76/x
  3. Step 3: Cross multiply
    74,880x = 112,406.40 × 38,021.76
  4. Step 4: Simplify right side
    74,880x = 4,273,889,163.26
  5. Step 5: Solve for x
    x = 4,273,889,163.26/74,880
  6. Step 6: Final answer
    x = 57,076.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.