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Finding the Fourth Proportional to 56,472, 84,709.62 and 14,919

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Solution

The fourth proportional to 56,472, 84,709.62 and 14,919 is: 22,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472 : 84,709.62 = 14,919 : x
  2. Step 2: Convert to fraction form
    56,472/84,709.62 = 14,919/x
  3. Step 3: Cross multiply
    56,472x = 84,709.62 × 14,919
  4. Step 4: Simplify right side
    56,472x = 1,263,782,820.78
  5. Step 5: Solve for x
    x = 1,263,782,820.78/56,472
  6. Step 6: Final answer
    x = 22,378.93

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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.