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Finding the Fourth Proportional to 281,645, 422,467.50 and 94,656.50

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Solution

The fourth proportional to 281,645, 422,467.50 and 94,656.50 is: 141,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,645 : 422,467.50 = 94,656.50 : x
  2. Step 2: Convert to fraction form
    281,645/422,467.50 = 94,656.50/x
  3. Step 3: Cross multiply
    281,645x = 422,467.50 × 94,656.50
  4. Step 4: Simplify right side
    281,645x = 39,989,294,913.75
  5. Step 5: Solve for x
    x = 39,989,294,913.75/281,645
  6. Step 6: Final answer
    x = 141,984.75

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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.