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Finding the Fourth Proportional to 78,586.81, 117,885.68 and 26,033.20

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Solution

The fourth proportional to 78,586.81, 117,885.68 and 26,033.20 is: 39,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.81 : 117,885.68 = 26,033.20 : x
  2. Step 2: Convert to fraction form
    78,586.81/117,885.68 = 26,033.20/x
  3. Step 3: Cross multiply
    78,586.81x = 117,885.68 × 26,033.20
  4. Step 4: Simplify right side
    78,586.81x = 3,068,941,157.32
  5. Step 5: Solve for x
    x = 3,068,941,157.32/78,586.81
  6. Step 6: Final answer
    x = 39,051.61

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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.