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Finding the Fourth Proportional to 78,090.70, 117,111.81 and 28,164.31

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Solution

The fourth proportional to 78,090.70, 117,111.81 and 28,164.31 is: 42,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.70 : 117,111.81 = 28,164.31 : x
  2. Step 2: Convert to fraction form
    78,090.70/117,111.81 = 28,164.31/x
  3. Step 3: Cross multiply
    78,090.70x = 117,111.81 × 28,164.31
  4. Step 4: Simplify right side
    78,090.70x = 3,298,372,916.50
  5. Step 5: Solve for x
    x = 3,298,372,916.50/78,090.70
  6. Step 6: Final answer
    x = 42,237.72

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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.