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Finding the Fourth Proportional to 97,999.88, 146,985.98 and 31,431.36

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Solution

The fourth proportional to 97,999.88, 146,985.98 and 31,431.36 is: 47,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,999.88 : 146,985.98 = 31,431.36 : x
  2. Step 2: Convert to fraction form
    97,999.88/146,985.98 = 31,431.36/x
  3. Step 3: Cross multiply
    97,999.88x = 146,985.98 × 31,431.36
  4. Step 4: Simplify right side
    97,999.88x = 4,619,969,646.37
  5. Step 5: Solve for x
    x = 4,619,969,646.37/97,999.88
  6. Step 6: Final answer
    x = 47,142.61

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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.