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Finding the Fourth Proportional to 255,990.41, 383,971.27 and 78,496.94

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Solution

The fourth proportional to 255,990.41, 383,971.27 and 78,496.94 is: 117,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,990.41 : 383,971.27 = 78,496.94 : x
  2. Step 2: Convert to fraction form
    255,990.41/383,971.27 = 78,496.94/x
  3. Step 3: Cross multiply
    255,990.41x = 383,971.27 × 78,496.94
  4. Step 4: Simplify right side
    255,990.41x = 30,140,569,742.91
  5. Step 5: Solve for x
    x = 30,140,569,742.91/255,990.41
  6. Step 6: Final answer
    x = 117,741.01

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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.