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Finding the Fourth Proportional to 142,693.56, 196,918.56 and 86,094

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Solution

The fourth proportional to 142,693.56, 196,918.56 and 86,094 is: 118,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,693.56 : 196,918.56 = 86,094 : x
  2. Step 2: Convert to fraction form
    142,693.56/196,918.56 = 86,094/x
  3. Step 3: Cross multiply
    142,693.56x = 196,918.56 × 86,094
  4. Step 4: Simplify right side
    142,693.56x = 16,953,506,504.64
  5. Step 5: Solve for x
    x = 16,953,506,504.64/142,693.56
  6. Step 6: Final answer
    x = 118,810.59

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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.