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Finding the Fourth Proportional to 70,897, 106,345.50 and 21,649

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Solution

The fourth proportional to 70,897, 106,345.50 and 21,649 is: 32,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897 : 106,345.50 = 21,649 : x
  2. Step 2: Convert to fraction form
    70,897/106,345.50 = 21,649/x
  3. Step 3: Cross multiply
    70,897x = 106,345.50 × 21,649
  4. Step 4: Simplify right side
    70,897x = 2,302,273,729.50
  5. Step 5: Solve for x
    x = 2,302,273,729.50/70,897
  6. Step 6: Final answer
    x = 32,473.50

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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.