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Finding the Fourth Proportional to 219,551.13, 302,980.50 and 118,949.13

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Solution

The fourth proportional to 219,551.13, 302,980.50 and 118,949.13 is: 164,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,551.13 : 302,980.50 = 118,949.13 : x
  2. Step 2: Convert to fraction form
    219,551.13/302,980.50 = 118,949.13/x
  3. Step 3: Cross multiply
    219,551.13x = 302,980.50 × 118,949.13
  4. Step 4: Simplify right side
    219,551.13x = 36,039,266,881.97
  5. Step 5: Solve for x
    x = 36,039,266,881.97/219,551.13
  6. Step 6: Final answer
    x = 164,149.77

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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.