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Finding the Fourth Proportional to 78,878.40, 118,317.60 and 47,774.40

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Solution

The fourth proportional to 78,878.40, 118,317.60 and 47,774.40 is: 71,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.40 : 118,317.60 = 47,774.40 : x
  2. Step 2: Convert to fraction form
    78,878.40/118,317.60 = 47,774.40/x
  3. Step 3: Cross multiply
    78,878.40x = 118,317.60 × 47,774.40
  4. Step 4: Simplify right side
    78,878.40x = 5,652,552,349.44
  5. Step 5: Solve for x
    x = 5,652,552,349.44/78,878.40
  6. Step 6: Final answer
    x = 71,661.60

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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.