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Finding the Fourth Proportional to 47,703.42, 71,560.03 and 12,643.08

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Solution

The fourth proportional to 47,703.42, 71,560.03 and 12,643.08 is: 18,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.42 : 71,560.03 = 12,643.08 : x
  2. Step 2: Convert to fraction form
    47,703.42/71,560.03 = 12,643.08/x
  3. Step 3: Cross multiply
    47,703.42x = 71,560.03 × 12,643.08
  4. Step 4: Simplify right side
    47,703.42x = 904,739,184.09
  5. Step 5: Solve for x
    x = 904,739,184.09/47,703.42
  6. Step 6: Final answer
    x = 18,965.92

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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.