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Finding the Fourth Proportional to 102,960.91, 142,089.02 and 57,638.64

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Solution

The fourth proportional to 102,960.91, 142,089.02 and 57,638.64 is: 79,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960.91 : 142,089.02 = 57,638.64 : x
  2. Step 2: Convert to fraction form
    102,960.91/142,089.02 = 57,638.64/x
  3. Step 3: Cross multiply
    102,960.91x = 142,089.02 × 57,638.64
  4. Step 4: Simplify right side
    102,960.91x = 8,189,817,871.73
  5. Step 5: Solve for x
    x = 8,189,817,871.73/102,960.91
  6. Step 6: Final answer
    x = 79,542.98

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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.