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Finding the Fourth Proportional to 97,990.74, 146,978.10 and 31,412.97

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Solution

The fourth proportional to 97,990.74, 146,978.10 and 31,412.97 is: 47,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,990.74 : 146,978.10 = 31,412.97 : x
  2. Step 2: Convert to fraction form
    97,990.74/146,978.10 = 31,412.97/x
  3. Step 3: Cross multiply
    97,990.74x = 146,978.10 × 31,412.97
  4. Step 4: Simplify right side
    97,990.74x = 4,617,018,645.96
  5. Step 5: Solve for x
    x = 4,617,018,645.96/97,990.74
  6. Step 6: Final answer
    x = 47,116.89

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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.