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Finding the Fourth Proportional to 279,835.14, 386,182.91 and 158,996.91

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Solution

The fourth proportional to 279,835.14, 386,182.91 and 158,996.91 is: 219,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,835.14 : 386,182.91 = 158,996.91 : x
  2. Step 2: Convert to fraction form
    279,835.14/386,182.91 = 158,996.91/x
  3. Step 3: Cross multiply
    279,835.14x = 386,182.91 × 158,996.91
  4. Step 4: Simplify right side
    279,835.14x = 61,401,889,384.81
  5. Step 5: Solve for x
    x = 61,401,889,384.81/279,835.14
  6. Step 6: Final answer
    x = 219,421.65

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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.