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Finding the Fourth Proportional to 70,214.16, 105,228.09 and 30,728.28

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Solution

The fourth proportional to 70,214.16, 105,228.09 and 30,728.28 is: 46,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.16 : 105,228.09 = 30,728.28 : x
  2. Step 2: Convert to fraction form
    70,214.16/105,228.09 = 30,728.28/x
  3. Step 3: Cross multiply
    70,214.16x = 105,228.09 × 30,728.28
  4. Step 4: Simplify right side
    70,214.16x = 3,233,478,213.39
  5. Step 5: Solve for x
    x = 3,233,478,213.39/70,214.16
  6. Step 6: Final answer
    x = 46,051.65

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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.