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Finding the Fourth Proportional to 213,459.84, 294,712.02 and 137,012.04

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Solution

The fourth proportional to 213,459.84, 294,712.02 and 137,012.04 is: 189,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,459.84 : 294,712.02 = 137,012.04 : x
  2. Step 2: Convert to fraction form
    213,459.84/294,712.02 = 137,012.04/x
  3. Step 3: Cross multiply
    213,459.84x = 294,712.02 × 137,012.04
  4. Step 4: Simplify right side
    213,459.84x = 40,379,095,072.72
  5. Step 5: Solve for x
    x = 40,379,095,072.72/213,459.84
  6. Step 6: Final answer
    x = 189,164.83

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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.