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Finding the Fourth Proportional to 86,970.81, 120,261.30 and 69,034.68

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Solution

The fourth proportional to 86,970.81, 120,261.30 and 69,034.68 is: 95,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,970.81 : 120,261.30 = 69,034.68 : x
  2. Step 2: Convert to fraction form
    86,970.81/120,261.30 = 69,034.68/x
  3. Step 3: Cross multiply
    86,970.81x = 120,261.30 × 69,034.68
  4. Step 4: Simplify right side
    86,970.81x = 8,302,200,361.88
  5. Step 5: Solve for x
    x = 8,302,200,361.88/86,970.81
  6. Step 6: Final answer
    x = 95,459.62

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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.