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Finding the Fourth Proportional to 72,097.40, 108,083.46 and 34,638.68

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Solution

The fourth proportional to 72,097.40, 108,083.46 and 34,638.68 is: 51,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097.40 : 108,083.46 = 34,638.68 : x
  2. Step 2: Convert to fraction form
    72,097.40/108,083.46 = 34,638.68/x
  3. Step 3: Cross multiply
    72,097.40x = 108,083.46 × 34,638.68
  4. Step 4: Simplify right side
    72,097.40x = 3,743,868,384.23
  5. Step 5: Solve for x
    x = 3,743,868,384.23/72,097.40
  6. Step 6: Final answer
    x = 51,927.93

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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.