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Finding the Fourth Proportional to 144,274.00, 216,342.88 and 84,319.67

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Solution

The fourth proportional to 144,274.00, 216,342.88 and 84,319.67 is: 126,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,274.00 : 216,342.88 = 84,319.67 : x
  2. Step 2: Convert to fraction form
    144,274.00/216,342.88 = 84,319.67/x
  3. Step 3: Cross multiply
    144,274.00x = 216,342.88 × 84,319.67
  4. Step 4: Simplify right side
    144,274.00x = 18,241,960,729.68
  5. Step 5: Solve for x
    x = 18,241,960,729.68/144,274.00
  6. Step 6: Final answer
    x = 126,439.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.