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Finding the Fourth Proportional to 70,396.20, 97,147.08 and 38,565

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Solution

The fourth proportional to 70,396.20, 97,147.08 and 38,565 is: 53,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,396.20 : 97,147.08 = 38,565 : x
  2. Step 2: Convert to fraction form
    70,396.20/97,147.08 = 38,565/x
  3. Step 3: Cross multiply
    70,396.20x = 97,147.08 × 38,565
  4. Step 4: Simplify right side
    70,396.20x = 3,746,477,140.20
  5. Step 5: Solve for x
    x = 3,746,477,140.20/70,396.20
  6. Step 6: Final answer
    x = 53,219.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.