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Finding the Fourth Proportional to 78,827.96, 118,228.98 and 23,411

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Solution

The fourth proportional to 78,827.96, 118,228.98 and 23,411 is: 35,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.96 : 118,228.98 = 23,411 : x
  2. Step 2: Convert to fraction form
    78,827.96/118,228.98 = 23,411/x
  3. Step 3: Cross multiply
    78,827.96x = 118,228.98 × 23,411
  4. Step 4: Simplify right side
    78,827.96x = 2,767,858,650.78
  5. Step 5: Solve for x
    x = 2,767,858,650.78/78,827.96
  6. Step 6: Final answer
    x = 35,112.65

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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.