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Finding the Fourth Proportional to 218,972.64, 302,182.70 and 118,370.64

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Solution

The fourth proportional to 218,972.64, 302,182.70 and 118,370.64 is: 163,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,972.64 : 302,182.70 = 118,370.64 : x
  2. Step 2: Convert to fraction form
    218,972.64/302,182.70 = 118,370.64/x
  3. Step 3: Cross multiply
    218,972.64x = 302,182.70 × 118,370.64
  4. Step 4: Simplify right side
    218,972.64x = 35,769,559,595.93
  5. Step 5: Solve for x
    x = 35,769,559,595.93/218,972.64
  6. Step 6: Final answer
    x = 163,351.73

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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.