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Finding the Fourth Proportional to 213,605.17, 294,871.80 and 137,235.13

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Solution

The fourth proportional to 213,605.17, 294,871.80 and 137,235.13 is: 189,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,605.17 : 294,871.80 = 137,235.13 : x
  2. Step 2: Convert to fraction form
    213,605.17/294,871.80 = 137,235.13/x
  3. Step 3: Cross multiply
    213,605.17x = 294,871.80 × 137,235.13
  4. Step 4: Simplify right side
    213,605.17x = 40,466,769,806.33
  5. Step 5: Solve for x
    x = 40,466,769,806.33/213,605.17
  6. Step 6: Final answer
    x = 189,446.58

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1.5x scale

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.