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Finding the Fourth Proportional to 213,502.80, 319,908.60 and 134,475.60

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Solution

The fourth proportional to 213,502.80, 319,908.60 and 134,475.60 is: 201,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,502.80 : 319,908.60 = 134,475.60 : x
  2. Step 2: Convert to fraction form
    213,502.80/319,908.60 = 134,475.60/x
  3. Step 3: Cross multiply
    213,502.80x = 319,908.60 × 134,475.60
  4. Step 4: Simplify right side
    213,502.80x = 43,019,900,930.16
  5. Step 5: Solve for x
    x = 43,019,900,930.16/213,502.80
  6. Step 6: Final answer
    x = 201,495.72

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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.