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Finding the Fourth Proportional to 78,451.41, 108,263.64 and 42,641.49

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Solution

The fourth proportional to 78,451.41, 108,263.64 and 42,641.49 is: 58,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.41 : 108,263.64 = 42,641.49 : x
  2. Step 2: Convert to fraction form
    78,451.41/108,263.64 = 42,641.49/x
  3. Step 3: Cross multiply
    78,451.41x = 108,263.64 × 42,641.49
  4. Step 4: Simplify right side
    78,451.41x = 4,616,522,922.42
  5. Step 5: Solve for x
    x = 4,616,522,922.42/78,451.41
  6. Step 6: Final answer
    x = 58,845.63

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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.