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Finding the Fourth Proportional to 260,017, 390,025.50 and 63,025

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Solution

The fourth proportional to 260,017, 390,025.50 and 63,025 is: 94,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,017 : 390,025.50 = 63,025 : x
  2. Step 2: Convert to fraction form
    260,017/390,025.50 = 63,025/x
  3. Step 3: Cross multiply
    260,017x = 390,025.50 × 63,025
  4. Step 4: Simplify right side
    260,017x = 24,581,357,137.50
  5. Step 5: Solve for x
    x = 24,581,357,137.50/260,017
  6. Step 6: Final answer
    x = 94,537.50

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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.