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Finding the Fourth Proportional to 70,565, 105,847.50 and 21,317

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Solution

The fourth proportional to 70,565, 105,847.50 and 21,317 is: 31,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565 : 105,847.50 = 21,317 : x
  2. Step 2: Convert to fraction form
    70,565/105,847.50 = 21,317/x
  3. Step 3: Cross multiply
    70,565x = 105,847.50 × 21,317
  4. Step 4: Simplify right side
    70,565x = 2,256,351,157.50
  5. Step 5: Solve for x
    x = 2,256,351,157.50/70,565
  6. Step 6: Final answer
    x = 31,975.50

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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.