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Finding the Fourth Proportional to 113,885.90, 170,828.85 and 82,393.10

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Solution

The fourth proportional to 113,885.90, 170,828.85 and 82,393.10 is: 123,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,885.90 : 170,828.85 = 82,393.10 : x
  2. Step 2: Convert to fraction form
    113,885.90/170,828.85 = 82,393.10/x
  3. Step 3: Cross multiply
    113,885.90x = 170,828.85 × 82,393.10
  4. Step 4: Simplify right side
    113,885.90x = 14,075,118,520.94
  5. Step 5: Solve for x
    x = 14,075,118,520.94/113,885.90
  6. Step 6: Final answer
    x = 123,589.65

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1.5x scale

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.