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Finding the Fourth Proportional to 47,355, 71,033.04 and 14,074.20

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Solution

The fourth proportional to 47,355, 71,033.04 and 14,074.20 is: 21,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,355 : 71,033.04 = 14,074.20 : x
  2. Step 2: Convert to fraction form
    47,355/71,033.04 = 14,074.20/x
  3. Step 3: Cross multiply
    47,355x = 71,033.04 × 14,074.20
  4. Step 4: Simplify right side
    47,355x = 999,733,211.57
  5. Step 5: Solve for x
    x = 999,733,211.57/47,355
  6. Step 6: Final answer
    x = 21,111.46

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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.