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Finding the Fourth Proportional to 74,871, 112,306.50 and 19,467

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Solution

The fourth proportional to 74,871, 112,306.50 and 19,467 is: 29,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871 : 112,306.50 = 19,467 : x
  2. Step 2: Convert to fraction form
    74,871/112,306.50 = 19,467/x
  3. Step 3: Cross multiply
    74,871x = 112,306.50 × 19,467
  4. Step 4: Simplify right side
    74,871x = 2,186,270,635.50
  5. Step 5: Solve for x
    x = 2,186,270,635.50/74,871
  6. Step 6: Final answer
    x = 29,200.50

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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.