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Finding the Fourth Proportional to 255,702.44, 383,492.08 and 78,210.96

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Solution

The fourth proportional to 255,702.44, 383,492.08 and 78,210.96 is: 117,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702.44 : 383,492.08 = 78,210.96 : x
  2. Step 2: Convert to fraction form
    255,702.44/383,492.08 = 78,210.96/x
  3. Step 3: Cross multiply
    255,702.44x = 383,492.08 × 78,210.96
  4. Step 4: Simplify right side
    255,702.44x = 29,993,283,729.20
  5. Step 5: Solve for x
    x = 29,993,283,729.20/255,702.44
  6. Step 6: Final answer
    x = 117,297.60

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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.