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Finding the Fourth Proportional to 213,713.08, 295,058.42 and 137,263

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Solution

The fourth proportional to 213,713.08, 295,058.42 and 137,263 is: 189,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,713.08 : 295,058.42 = 137,263 : x
  2. Step 2: Convert to fraction form
    213,713.08/295,058.42 = 137,263/x
  3. Step 3: Cross multiply
    213,713.08x = 295,058.42 × 137,263
  4. Step 4: Simplify right side
    213,713.08x = 40,500,603,904.46
  5. Step 5: Solve for x
    x = 40,500,603,904.46/213,713.08
  6. Step 6: Final answer
    x = 189,509.24

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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.