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Finding the Fourth Proportional to 51,919.66, 77,878.37 and 14,478.73

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Solution

The fourth proportional to 51,919.66, 77,878.37 and 14,478.73 is: 21,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919.66 : 77,878.37 = 14,478.73 : x
  2. Step 2: Convert to fraction form
    51,919.66/77,878.37 = 14,478.73/x
  3. Step 3: Cross multiply
    51,919.66x = 77,878.37 × 14,478.73
  4. Step 4: Simplify right side
    51,919.66x = 1,127,580,130.92
  5. Step 5: Solve for x
    x = 1,127,580,130.92/51,919.66
  6. Step 6: Final answer
    x = 21,717.79

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1.5x scale

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.