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Finding the Fourth Proportional to 97,426, 146,143.25 and 30,871.03

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Solution

The fourth proportional to 97,426, 146,143.25 and 30,871.03 is: 46,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426 : 146,143.25 = 30,871.03 : x
  2. Step 2: Convert to fraction form
    97,426/146,143.25 = 30,871.03/x
  3. Step 3: Cross multiply
    97,426x = 146,143.25 × 30,871.03
  4. Step 4: Simplify right side
    97,426x = 4,511,592,655.05
  5. Step 5: Solve for x
    x = 4,511,592,655.05/97,426
  6. Step 6: Final answer
    x = 46,307.89

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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.