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Finding the Fourth Proportional to 223,013.79, 307,642.74 and 136,992.15

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Solution

The fourth proportional to 223,013.79, 307,642.74 and 136,992.15 is: 188,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,013.79 : 307,642.74 = 136,992.15 : x
  2. Step 2: Convert to fraction form
    223,013.79/307,642.74 = 136,992.15/x
  3. Step 3: Cross multiply
    223,013.79x = 307,642.74 × 136,992.15
  4. Step 4: Simplify right side
    223,013.79x = 42,144,640,384.49
  5. Step 5: Solve for x
    x = 42,144,640,384.49/223,013.79
  6. Step 6: Final answer
    x = 188,977.73

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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.