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Finding the Fourth Proportional to 180,893.93, 249,629.76 and 100,319.72

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Solution

The fourth proportional to 180,893.93, 249,629.76 and 100,319.72 is: 138,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,893.93 : 249,629.76 = 100,319.72 : x
  2. Step 2: Convert to fraction form
    180,893.93/249,629.76 = 100,319.72/x
  3. Step 3: Cross multiply
    180,893.93x = 249,629.76 × 100,319.72
  4. Step 4: Simplify right side
    180,893.93x = 25,042,786,378.72
  5. Step 5: Solve for x
    x = 25,042,786,378.72/180,893.93
  6. Step 6: Final answer
    x = 138,439.07

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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.