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Finding the Fourth Proportional to 212,160.66, 292,783.78 and 116,668

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Solution

The fourth proportional to 212,160.66, 292,783.78 and 116,668 is: 161,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,160.66 : 292,783.78 = 116,668 : x
  2. Step 2: Convert to fraction form
    212,160.66/292,783.78 = 116,668/x
  3. Step 3: Cross multiply
    212,160.66x = 292,783.78 × 116,668
  4. Step 4: Simplify right side
    212,160.66x = 34,158,498,045.04
  5. Step 5: Solve for x
    x = 34,158,498,045.04/212,160.66
  6. Step 6: Final answer
    x = 161,002.98

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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.