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Finding the Fourth Proportional to 213,811.84, 320,461.81 and 99,806.26

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Solution

The fourth proportional to 213,811.84, 320,461.81 and 99,806.26 is: 149,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,811.84 : 320,461.81 = 99,806.26 : x
  2. Step 2: Convert to fraction form
    213,811.84/320,461.81 = 99,806.26/x
  3. Step 3: Cross multiply
    213,811.84x = 320,461.81 × 99,806.26
  4. Step 4: Simplify right side
    213,811.84x = 31,984,095,490.72
  5. Step 5: Solve for x
    x = 31,984,095,490.72/213,811.84
  6. Step 6: Final answer
    x = 149,589.92

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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.