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Finding the Fourth Proportional to 78,431.79, 108,235.78 and 42,621.73

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Solution

The fourth proportional to 78,431.79, 108,235.78 and 42,621.73 is: 58,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.79 : 108,235.78 = 42,621.73 : x
  2. Step 2: Convert to fraction form
    78,431.79/108,235.78 = 42,621.73/x
  3. Step 3: Cross multiply
    78,431.79x = 108,235.78 × 42,621.73
  4. Step 4: Simplify right side
    78,431.79x = 4,613,195,814.36
  5. Step 5: Solve for x
    x = 4,613,195,814.36/78,431.79
  6. Step 6: Final answer
    x = 58,817.93

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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.