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Finding the Fourth Proportional to 262,133.37, 393,204.38 and 75,144.87

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Solution

The fourth proportional to 262,133.37, 393,204.38 and 75,144.87 is: 112,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,133.37 : 393,204.38 = 75,144.87 : x
  2. Step 2: Convert to fraction form
    262,133.37/393,204.38 = 75,144.87/x
  3. Step 3: Cross multiply
    262,133.37x = 393,204.38 × 75,144.87
  4. Step 4: Simplify right side
    262,133.37x = 29,547,291,642.81
  5. Step 5: Solve for x
    x = 29,547,291,642.81/262,133.37
  6. Step 6: Final answer
    x = 112,718.54

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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.