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Finding the Fourth Proportional to 139,871.80, 193,024.02 and 76,209.40

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Solution

The fourth proportional to 139,871.80, 193,024.02 and 76,209.40 is: 105,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,871.80 : 193,024.02 = 76,209.40 : x
  2. Step 2: Convert to fraction form
    139,871.80/193,024.02 = 76,209.40/x
  3. Step 3: Cross multiply
    139,871.80x = 193,024.02 × 76,209.40
  4. Step 4: Simplify right side
    139,871.80x = 14,710,244,749.79
  5. Step 5: Solve for x
    x = 14,710,244,749.79/139,871.80
  6. Step 6: Final answer
    x = 105,169.48

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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.