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Finding the Fourth Proportional to 274,655.02, 411,993.46 and 85,135.06

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Solution

The fourth proportional to 274,655.02, 411,993.46 and 85,135.06 is: 127,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,655.02 : 411,993.46 = 85,135.06 : x
  2. Step 2: Convert to fraction form
    274,655.02/411,993.46 = 85,135.06/x
  3. Step 3: Cross multiply
    274,655.02x = 411,993.46 × 85,135.06
  4. Step 4: Simplify right side
    274,655.02x = 35,075,087,936.71
  5. Step 5: Solve for x
    x = 35,075,087,936.71/274,655.02
  6. Step 6: Final answer
    x = 127,705.98

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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.