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Finding the Fourth Proportional to 47,066, 70,605.58 and 13,788.48

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Solution

The fourth proportional to 47,066, 70,605.58 and 13,788.48 is: 20,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066 : 70,605.58 = 13,788.48 : x
  2. Step 2: Convert to fraction form
    47,066/70,605.58 = 13,788.48/x
  3. Step 3: Cross multiply
    47,066x = 70,605.58 × 13,788.48
  4. Step 4: Simplify right side
    47,066x = 973,543,627.72
  5. Step 5: Solve for x
    x = 973,543,627.72/47,066
  6. Step 6: Final answer
    x = 20,684.65

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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.