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Finding the Fourth Proportional to 218,934.34, 302,129.31 and 118,332.34

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Solution

The fourth proportional to 218,934.34, 302,129.31 and 118,332.34 is: 163,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,934.34 : 302,129.31 = 118,332.34 : x
  2. Step 2: Convert to fraction form
    218,934.34/302,129.31 = 118,332.34/x
  3. Step 3: Cross multiply
    218,934.34x = 302,129.31 × 118,332.34
  4. Step 4: Simplify right side
    218,934.34x = 35,751,668,234.89
  5. Step 5: Solve for x
    x = 35,751,668,234.89/218,934.34
  6. Step 6: Final answer
    x = 163,298.59

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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.