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Finding the Fourth Proportional to 144,275, 216,344.38 and 84,320.67

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Solution

The fourth proportional to 144,275, 216,344.38 and 84,320.67 is: 126,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,275 : 216,344.38 = 84,320.67 : x
  2. Step 2: Convert to fraction form
    144,275/216,344.38 = 84,320.67/x
  3. Step 3: Cross multiply
    144,275x = 216,344.38 × 84,320.67
  4. Step 4: Simplify right side
    144,275x = 18,242,303,072.33
  5. Step 5: Solve for x
    x = 18,242,303,072.33/144,275
  6. Step 6: Final answer
    x = 126,441.19

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1.5x scale

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.