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Finding the Fourth Proportional to 233,483.52, 350,259.84 and 85,728

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Solution

The fourth proportional to 233,483.52, 350,259.84 and 85,728 is: 128,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,483.52 : 350,259.84 = 85,728 : x
  2. Step 2: Convert to fraction form
    233,483.52/350,259.84 = 85,728/x
  3. Step 3: Cross multiply
    233,483.52x = 350,259.84 × 85,728
  4. Step 4: Simplify right side
    233,483.52x = 30,027,075,563.52
  5. Step 5: Solve for x
    x = 30,027,075,563.52/233,483.52
  6. Step 6: Final answer
    x = 128,604.69

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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.