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Finding the Fourth Proportional to 218,972.65, 302,182.70 and 118,370.65

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Solution

The fourth proportional to 218,972.65, 302,182.70 and 118,370.65 is: 163,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,972.65 : 302,182.70 = 118,370.65 : x
  2. Step 2: Convert to fraction form
    218,972.65/302,182.70 = 118,370.65/x
  3. Step 3: Cross multiply
    218,972.65x = 302,182.70 × 118,370.65
  4. Step 4: Simplify right side
    218,972.65x = 35,769,562,617.76
  5. Step 5: Solve for x
    x = 35,769,562,617.76/218,972.65
  6. Step 6: Final answer
    x = 163,351.74

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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.