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Finding the Fourth Proportional to 51,855, 77,782.50 and 14,919

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Solution

The fourth proportional to 51,855, 77,782.50 and 14,919 is: 22,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855 : 77,782.50 = 14,919 : x
  2. Step 2: Convert to fraction form
    51,855/77,782.50 = 14,919/x
  3. Step 3: Cross multiply
    51,855x = 77,782.50 × 14,919
  4. Step 4: Simplify right side
    51,855x = 1,160,437,117.50
  5. Step 5: Solve for x
    x = 1,160,437,117.50/51,855
  6. Step 6: Final answer
    x = 22,378.50

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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.