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Finding the Fourth Proportional to 78,149.28, 117,311.40 and 51,905.28

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Solution

The fourth proportional to 78,149.28, 117,311.40 and 51,905.28 is: 77,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.28 : 117,311.40 = 51,905.28 : x
  2. Step 2: Convert to fraction form
    78,149.28/117,311.40 = 51,905.28/x
  3. Step 3: Cross multiply
    78,149.28x = 117,311.40 × 51,905.28
  4. Step 4: Simplify right side
    78,149.28x = 6,089,081,064.19
  5. Step 5: Solve for x
    x = 6,089,081,064.19/78,149.28
  6. Step 6: Final answer
    x = 77,916.02

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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.