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Finding the Fourth Proportional to 85,075, 127,670.94 and 29,671

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Solution

The fourth proportional to 85,075, 127,670.94 and 29,671 is: 44,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,075 : 127,670.94 = 29,671 : x
  2. Step 2: Convert to fraction form
    85,075/127,670.94 = 29,671/x
  3. Step 3: Cross multiply
    85,075x = 127,670.94 × 29,671
  4. Step 4: Simplify right side
    85,075x = 3,788,124,460.74
  5. Step 5: Solve for x
    x = 3,788,124,460.74/85,075
  6. Step 6: Final answer
    x = 44,526.88

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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.