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Finding the Fourth Proportional to 70,999.50, 97,968.78 and 40,786.14

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Solution

The fourth proportional to 70,999.50, 97,968.78 and 40,786.14 is: 56,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,999.50 : 97,968.78 = 40,786.14 : x
  2. Step 2: Convert to fraction form
    70,999.50/97,968.78 = 40,786.14/x
  3. Step 3: Cross multiply
    70,999.50x = 97,968.78 × 40,786.14
  4. Step 4: Simplify right side
    70,999.50x = 3,995,768,376.71
  5. Step 5: Solve for x
    x = 3,995,768,376.71/70,999.50
  6. Step 6: Final answer
    x = 56,278.82

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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.