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Finding the Fourth Proportional to 112,971, 169,456.50 and 39,099

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Solution

The fourth proportional to 112,971, 169,456.50 and 39,099 is: 58,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971 : 169,456.50 = 39,099 : x
  2. Step 2: Convert to fraction form
    112,971/169,456.50 = 39,099/x
  3. Step 3: Cross multiply
    112,971x = 169,456.50 × 39,099
  4. Step 4: Simplify right side
    112,971x = 6,625,579,693.50
  5. Step 5: Solve for x
    x = 6,625,579,693.50/112,971
  6. Step 6: Final answer
    x = 58,648.50

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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.