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Finding the Fourth Proportional to 47,259.70, 70,889.54 and 13,977.17

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Solution

The fourth proportional to 47,259.70, 70,889.54 and 13,977.17 is: 20,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259.70 : 70,889.54 = 13,977.17 : x
  2. Step 2: Convert to fraction form
    47,259.70/70,889.54 = 13,977.17/x
  3. Step 3: Cross multiply
    47,259.70x = 70,889.54 × 13,977.17
  4. Step 4: Simplify right side
    47,259.70x = 990,835,151.80
  5. Step 5: Solve for x
    x = 990,835,151.80/47,259.70
  6. Step 6: Final answer
    x = 20,965.75

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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.