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Finding the Fourth Proportional to 213,658.40, 294,839.70 and 116,860.70

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Solution

The fourth proportional to 213,658.40, 294,839.70 and 116,860.70 is: 161,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,658.40 : 294,839.70 = 116,860.70 : x
  2. Step 2: Convert to fraction form
    213,658.40/294,839.70 = 116,860.70/x
  3. Step 3: Cross multiply
    213,658.40x = 294,839.70 × 116,860.70
  4. Step 4: Simplify right side
    213,658.40x = 34,455,173,729.79
  5. Step 5: Solve for x
    x = 34,455,173,729.79/213,658.40
  6. Step 6: Final answer
    x = 161,262.90

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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.