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Finding the Fourth Proportional to 257,075.24, 385,722.99 and 99,414.41

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Solution

The fourth proportional to 257,075.24, 385,722.99 and 99,414.41 is: 149,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.24 : 385,722.99 = 99,414.41 : x
  2. Step 2: Convert to fraction form
    257,075.24/385,722.99 = 99,414.41/x
  3. Step 3: Cross multiply
    257,075.24x = 385,722.99 × 99,414.41
  4. Step 4: Simplify right side
    257,075.24x = 38,346,423,474.29
  5. Step 5: Solve for x
    x = 38,346,423,474.29/257,075.24
  6. Step 6: Final answer
    x = 149,164.20

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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.