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Finding the Fourth Proportional to 218,996.16, 302,215.10 and 118,394.16

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Solution

The fourth proportional to 218,996.16, 302,215.10 and 118,394.16 is: 163,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,996.16 : 302,215.10 = 118,394.16 : x
  2. Step 2: Convert to fraction form
    218,996.16/302,215.10 = 118,394.16/x
  3. Step 3: Cross multiply
    218,996.16x = 302,215.10 × 118,394.16
  4. Step 4: Simplify right side
    218,996.16x = 35,780,501,844.51
  5. Step 5: Solve for x
    x = 35,780,501,844.51/218,996.16
  6. Step 6: Final answer
    x = 163,384.15

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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.