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Finding the Fourth Proportional to 78,878.40, 118,297.08 and 31,491.60

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Solution

The fourth proportional to 78,878.40, 118,297.08 and 31,491.60 is: 47,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.40 : 118,297.08 = 31,491.60 : x
  2. Step 2: Convert to fraction form
    78,878.40/118,297.08 = 31,491.60/x
  3. Step 3: Cross multiply
    78,878.40x = 118,297.08 × 31,491.60
  4. Step 4: Simplify right side
    78,878.40x = 3,725,364,324.53
  5. Step 5: Solve for x
    x = 3,725,364,324.53/78,878.40
  6. Step 6: Final answer
    x = 47,229.21

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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.