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Finding the Fourth Proportional to 102,976.94, 142,101.30 and 57,647.28

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Solution

The fourth proportional to 102,976.94, 142,101.30 and 57,647.28 is: 79,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,976.94 : 142,101.30 = 57,647.28 : x
  2. Step 2: Convert to fraction form
    102,976.94/142,101.30 = 57,647.28/x
  3. Step 3: Cross multiply
    102,976.94x = 142,101.30 × 57,647.28
  4. Step 4: Simplify right side
    102,976.94x = 8,191,753,429.46
  5. Step 5: Solve for x
    x = 8,191,753,429.46/102,976.94
  6. Step 6: Final answer
    x = 79,549.40

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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.