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Finding the Fourth Proportional to 78,472, 108,292.44 and 44,938

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Solution

The fourth proportional to 78,472, 108,292.44 and 44,938 is: 62,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472 : 108,292.44 = 44,938 : x
  2. Step 2: Convert to fraction form
    78,472/108,292.44 = 44,938/x
  3. Step 3: Cross multiply
    78,472x = 108,292.44 × 44,938
  4. Step 4: Simplify right side
    78,472x = 4,866,445,668.72
  5. Step 5: Solve for x
    x = 4,866,445,668.72/78,472
  6. Step 6: Final answer
    x = 62,015.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.