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Finding the Fourth Proportional to 84,905.65, 117,133.45 and 53,019.19

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Solution

The fourth proportional to 84,905.65, 117,133.45 and 53,019.19 is: 73,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905.65 : 117,133.45 = 53,019.19 : x
  2. Step 2: Convert to fraction form
    84,905.65/117,133.45 = 53,019.19/x
  3. Step 3: Cross multiply
    84,905.65x = 117,133.45 × 53,019.19
  4. Step 4: Simplify right side
    84,905.65x = 6,210,320,640.91
  5. Step 5: Solve for x
    x = 6,210,320,640.91/84,905.65
  6. Step 6: Final answer
    x = 73,143.79

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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.