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Finding the Fourth Proportional to 78,832.44, 108,788.68 and 56,210.80

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Solution

The fourth proportional to 78,832.44, 108,788.68 and 56,210.80 is: 77,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832.44 : 108,788.68 = 56,210.80 : x
  2. Step 2: Convert to fraction form
    78,832.44/108,788.68 = 56,210.80/x
  3. Step 3: Cross multiply
    78,832.44x = 108,788.68 × 56,210.80
  4. Step 4: Simplify right side
    78,832.44x = 6,115,098,733.74
  5. Step 5: Solve for x
    x = 6,115,098,733.74/78,832.44
  6. Step 6: Final answer
    x = 77,570.84

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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.