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Finding the Fourth Proportional to 78,162.72, 117,270 and 51,970.56

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Solution

The fourth proportional to 78,162.72, 117,270 and 51,970.56 is: 77,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.72 : 117,270 = 51,970.56 : x
  2. Step 2: Convert to fraction form
    78,162.72/117,270 = 51,970.56/x
  3. Step 3: Cross multiply
    78,162.72x = 117,270 × 51,970.56
  4. Step 4: Simplify right side
    78,162.72x = 6,094,587,571.20
  5. Step 5: Solve for x
    x = 6,094,587,571.20/78,162.72
  6. Step 6: Final answer
    x = 77,973.07

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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.