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Finding the Fourth Proportional to 78,579.35, 108,441.80 and 42,771.68

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Solution

The fourth proportional to 78,579.35, 108,441.80 and 42,771.68 is: 59,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,579.35 : 108,441.80 = 42,771.68 : x
  2. Step 2: Convert to fraction form
    78,579.35/108,441.80 = 42,771.68/x
  3. Step 3: Cross multiply
    78,579.35x = 108,441.80 × 42,771.68
  4. Step 4: Simplify right side
    78,579.35x = 4,638,237,212.16
  5. Step 5: Solve for x
    x = 4,638,237,212.16/78,579.35
  6. Step 6: Final answer
    x = 59,026.16

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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.