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Finding the Fourth Proportional to 78,705.78, 118,076.21 and 28,784.77

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Solution

The fourth proportional to 78,705.78, 118,076.21 and 28,784.77 is: 43,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.78 : 118,076.21 = 28,784.77 : x
  2. Step 2: Convert to fraction form
    78,705.78/118,076.21 = 28,784.77/x
  3. Step 3: Cross multiply
    78,705.78x = 118,076.21 × 28,784.77
  4. Step 4: Simplify right side
    78,705.78x = 3,398,796,547.32
  5. Step 5: Solve for x
    x = 3,398,796,547.32/78,705.78
  6. Step 6: Final answer
    x = 43,183.57

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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.