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Finding the Fourth Proportional to 253,913.68, 380,920.34 and 93,991

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Solution

The fourth proportional to 253,913.68, 380,920.34 and 93,991 is: 141,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,913.68 : 380,920.34 = 93,991 : x
  2. Step 2: Convert to fraction form
    253,913.68/380,920.34 = 93,991/x
  3. Step 3: Cross multiply
    253,913.68x = 380,920.34 × 93,991
  4. Step 4: Simplify right side
    253,913.68x = 35,803,083,676.94
  5. Step 5: Solve for x
    x = 35,803,083,676.94/253,913.68
  6. Step 6: Final answer
    x = 141,004.94

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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.