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Finding the Fourth Proportional to 71,014.44, 97,977.02 and 47,145.72

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Solution

The fourth proportional to 71,014.44, 97,977.02 and 47,145.72 is: 65,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.44 : 97,977.02 = 47,145.72 : x
  2. Step 2: Convert to fraction form
    71,014.44/97,977.02 = 47,145.72/x
  3. Step 3: Cross multiply
    71,014.44x = 97,977.02 × 47,145.72
  4. Step 4: Simplify right side
    71,014.44x = 4,619,197,151.35
  5. Step 5: Solve for x
    x = 4,619,197,151.35/71,014.44
  6. Step 6: Final answer
    x = 65,045.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.