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Finding the Fourth Proportional to 78,406.88, 108,201.60 and 42,596.91

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Solution

The fourth proportional to 78,406.88, 108,201.60 and 42,596.91 is: 58,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.88 : 108,201.60 = 42,596.91 : x
  2. Step 2: Convert to fraction form
    78,406.88/108,201.60 = 42,596.91/x
  3. Step 3: Cross multiply
    78,406.88x = 108,201.60 × 42,596.91
  4. Step 4: Simplify right side
    78,406.88x = 4,609,053,817.06
  5. Step 5: Solve for x
    x = 4,609,053,817.06/78,406.88
  6. Step 6: Final answer
    x = 58,783.80

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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.