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Finding the Fourth Proportional to 159,985.89, 239,771.07 and 65,105.46

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Solution

The fourth proportional to 159,985.89, 239,771.07 and 65,105.46 is: 97,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,985.89 : 239,771.07 = 65,105.46 : x
  2. Step 2: Convert to fraction form
    159,985.89/239,771.07 = 65,105.46/x
  3. Step 3: Cross multiply
    159,985.89x = 239,771.07 × 65,105.46
  4. Step 4: Simplify right side
    159,985.89x = 15,610,405,807.04
  5. Step 5: Solve for x
    x = 15,610,405,807.04/159,985.89
  6. Step 6: Final answer
    x = 97,573.64

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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.