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Finding the Fourth Proportional to 144,077.96, 215,969.16 and 55,307.54

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Solution

The fourth proportional to 144,077.96, 215,969.16 and 55,307.54 is: 82,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,077.96 : 215,969.16 = 55,307.54 : x
  2. Step 2: Convert to fraction form
    144,077.96/215,969.16 = 55,307.54/x
  3. Step 3: Cross multiply
    144,077.96x = 215,969.16 × 55,307.54
  4. Step 4: Simplify right side
    144,077.96x = 11,944,722,955.47
  5. Step 5: Solve for x
    x = 11,944,722,955.47/144,077.96
  6. Step 6: Final answer
    x = 82,904.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.