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Finding the Fourth Proportional to 47,076, 70,613.94 and 12,015.66

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Solution

The fourth proportional to 47,076, 70,613.94 and 12,015.66 is: 18,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076 : 70,613.94 = 12,015.66 : x
  2. Step 2: Convert to fraction form
    47,076/70,613.94 = 12,015.66/x
  3. Step 3: Cross multiply
    47,076x = 70,613.94 × 12,015.66
  4. Step 4: Simplify right side
    47,076x = 848,473,094.30
  5. Step 5: Solve for x
    x = 848,473,094.30/47,076
  6. Step 6: Final answer
    x = 18,023.47

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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.