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Finding the Fourth Proportional to 51,281, 76,921.50 and 14,345

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Solution

The fourth proportional to 51,281, 76,921.50 and 14,345 is: 21,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281 : 76,921.50 = 14,345 : x
  2. Step 2: Convert to fraction form
    51,281/76,921.50 = 14,345/x
  3. Step 3: Cross multiply
    51,281x = 76,921.50 × 14,345
  4. Step 4: Simplify right side
    51,281x = 1,103,438,917.50
  5. Step 5: Solve for x
    x = 1,103,438,917.50/51,281
  6. Step 6: Final answer
    x = 21,517.50

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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.