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Finding the Fourth Proportional to 81,009.72, 111,780 and 54,109.08

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Solution

The fourth proportional to 81,009.72, 111,780 and 54,109.08 is: 74,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,009.72 : 111,780 = 54,109.08 : x
  2. Step 2: Convert to fraction form
    81,009.72/111,780 = 54,109.08/x
  3. Step 3: Cross multiply
    81,009.72x = 111,780 × 54,109.08
  4. Step 4: Simplify right side
    81,009.72x = 6,048,312,962.40
  5. Step 5: Solve for x
    x = 6,048,312,962.40/81,009.72
  6. Step 6: Final answer
    x = 74,661.57

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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.