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Finding the Fourth Proportional to 70,210.16, 105,321 and 35,147.12

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Solution

The fourth proportional to 70,210.16, 105,321 and 35,147.12 is: 52,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,210.16 : 105,321 = 35,147.12 : x
  2. Step 2: Convert to fraction form
    70,210.16/105,321 = 35,147.12/x
  3. Step 3: Cross multiply
    70,210.16x = 105,321 × 35,147.12
  4. Step 4: Simplify right side
    70,210.16x = 3,701,729,825.52
  5. Step 5: Solve for x
    x = 3,701,729,825.52/70,210.16
  6. Step 6: Final answer
    x = 52,723.56

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1.5x scale

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.