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Finding the Fourth Proportional to 78,322.48, 108,085.80 and 42,512.80

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Solution

The fourth proportional to 78,322.48, 108,085.80 and 42,512.80 is: 58,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.48 : 108,085.80 = 42,512.80 : x
  2. Step 2: Convert to fraction form
    78,322.48/108,085.80 = 42,512.80/x
  3. Step 3: Cross multiply
    78,322.48x = 108,085.80 × 42,512.80
  4. Step 4: Simplify right side
    78,322.48x = 4,595,029,998.24
  5. Step 5: Solve for x
    x = 4,595,029,998.24/78,322.48
  6. Step 6: Final answer
    x = 58,668.09

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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.