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Finding the Fourth Proportional to 97,998.84, 146,984.43 and 31,430.34

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Solution

The fourth proportional to 97,998.84, 146,984.43 and 31,430.34 is: 47,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.84 : 146,984.43 = 31,430.34 : x
  2. Step 2: Convert to fraction form
    97,998.84/146,984.43 = 31,430.34/x
  3. Step 3: Cross multiply
    97,998.84x = 146,984.43 × 31,430.34
  4. Step 4: Simplify right side
    97,998.84x = 4,619,770,609.61
  5. Step 5: Solve for x
    x = 4,619,770,609.61/97,998.84
  6. Step 6: Final answer
    x = 47,141.07

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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.