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Finding the Fourth Proportional to 86,130, 118,857.24 and 47,889.63

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Solution

The fourth proportional to 86,130, 118,857.24 and 47,889.63 is: 66,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,130 : 118,857.24 = 47,889.63 : x
  2. Step 2: Convert to fraction form
    86,130/118,857.24 = 47,889.63/x
  3. Step 3: Cross multiply
    86,130x = 118,857.24 × 47,889.63
  4. Step 4: Simplify right side
    86,130x = 5,692,029,246.42
  5. Step 5: Solve for x
    x = 5,692,029,246.42/86,130
  6. Step 6: Final answer
    x = 66,086.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.