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Finding the Fourth Proportional to 257,075.52, 354,767.94 and 148,119.78

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Solution

The fourth proportional to 257,075.52, 354,767.94 and 148,119.78 is: 204,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.52 : 354,767.94 = 148,119.78 : x
  2. Step 2: Convert to fraction form
    257,075.52/354,767.94 = 148,119.78/x
  3. Step 3: Cross multiply
    257,075.52x = 354,767.94 × 148,119.78
  4. Step 4: Simplify right side
    257,075.52x = 52,548,149,223.85
  5. Step 5: Solve for x
    x = 52,548,149,223.85/257,075.52
  6. Step 6: Final answer
    x = 204,407.44

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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.