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Finding the Fourth Proportional to 47,237.88, 70,808.22 and 20,955

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Solution

The fourth proportional to 47,237.88, 70,808.22 and 20,955 is: 31,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,237.88 : 70,808.22 = 20,955 : x
  2. Step 2: Convert to fraction form
    47,237.88/70,808.22 = 20,955/x
  3. Step 3: Cross multiply
    47,237.88x = 70,808.22 × 20,955
  4. Step 4: Simplify right side
    47,237.88x = 1,483,786,250.10
  5. Step 5: Solve for x
    x = 1,483,786,250.10/47,237.88
  6. Step 6: Final answer
    x = 31,410.94

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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.