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Finding the Fourth Proportional to 51,377, 77,065.50 and 14,441

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Solution

The fourth proportional to 51,377, 77,065.50 and 14,441 is: 21,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,377 : 77,065.50 = 14,441 : x
  2. Step 2: Convert to fraction form
    51,377/77,065.50 = 14,441/x
  3. Step 3: Cross multiply
    51,377x = 77,065.50 × 14,441
  4. Step 4: Simplify right side
    51,377x = 1,112,902,885.50
  5. Step 5: Solve for x
    x = 1,112,902,885.50/51,377
  6. Step 6: Final answer
    x = 21,661.50

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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.