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Finding the Fourth Proportional to 70,278.56, 105,419.54 and 27,582.16

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Solution

The fourth proportional to 70,278.56, 105,419.54 and 27,582.16 is: 41,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278.56 : 105,419.54 = 27,582.16 : x
  2. Step 2: Convert to fraction form
    70,278.56/105,419.54 = 27,582.16/x
  3. Step 3: Cross multiply
    70,278.56x = 105,419.54 × 27,582.16
  4. Step 4: Simplify right side
    70,278.56x = 2,907,698,619.41
  5. Step 5: Solve for x
    x = 2,907,698,619.41/70,278.56
  6. Step 6: Final answer
    x = 41,373.91

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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.