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Finding the Fourth Proportional to 71,598.40, 107,389.37 and 19,012

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Solution

The fourth proportional to 71,598.40, 107,389.37 and 19,012 is: 28,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,598.40 : 107,389.37 = 19,012 : x
  2. Step 2: Convert to fraction form
    71,598.40/107,389.37 = 19,012/x
  3. Step 3: Cross multiply
    71,598.40x = 107,389.37 × 19,012
  4. Step 4: Simplify right side
    71,598.40x = 2,041,686,702.44
  5. Step 5: Solve for x
    x = 2,041,686,702.44/71,598.40
  6. Step 6: Final answer
    x = 28,515.81

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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.