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Finding the Fourth Proportional to 78,305.48, 108,062.36 and 42,495.80

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Solution

The fourth proportional to 78,305.48, 108,062.36 and 42,495.80 is: 58,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.48 : 108,062.36 = 42,495.80 : x
  2. Step 2: Convert to fraction form
    78,305.48/108,062.36 = 42,495.80/x
  3. Step 3: Cross multiply
    78,305.48x = 108,062.36 × 42,495.80
  4. Step 4: Simplify right side
    78,305.48x = 4,592,196,438.09
  5. Step 5: Solve for x
    x = 4,592,196,438.09/78,305.48
  6. Step 6: Final answer
    x = 58,644.64

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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.