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Finding the Fourth Proportional to 51,859, 77,813.90 and 18,581.63

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Solution

The fourth proportional to 51,859, 77,813.90 and 18,581.63 is: 27,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859 : 77,813.90 = 18,581.63 : x
  2. Step 2: Convert to fraction form
    51,859/77,813.90 = 18,581.63/x
  3. Step 3: Cross multiply
    51,859x = 77,813.90 × 18,581.63
  4. Step 4: Simplify right side
    51,859x = 1,445,909,098.66
  5. Step 5: Solve for x
    x = 1,445,909,098.66/51,859
  6. Step 6: Final answer
    x = 27,881.55

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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.