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Finding the Fourth Proportional to 47,871, 71,806.46 and 21,544.98

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Solution

The fourth proportional to 47,871, 71,806.46 and 21,544.98 is: 32,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871 : 71,806.46 = 21,544.98 : x
  2. Step 2: Convert to fraction form
    47,871/71,806.46 = 21,544.98/x
  3. Step 3: Cross multiply
    47,871x = 71,806.46 × 21,544.98
  4. Step 4: Simplify right side
    47,871x = 1,547,068,636.85
  5. Step 5: Solve for x
    x = 1,547,068,636.85/47,871
  6. Step 6: Final answer
    x = 32,317.45

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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.