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Finding the Fourth Proportional to 180,965.36, 249,709.47 and 100,371.98

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Solution

The fourth proportional to 180,965.36, 249,709.47 and 100,371.98 is: 138,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965.36 : 249,709.47 = 100,371.98 : x
  2. Step 2: Convert to fraction form
    180,965.36/249,709.47 = 100,371.98/x
  3. Step 3: Cross multiply
    180,965.36x = 249,709.47 × 100,371.98
  4. Step 4: Simplify right side
    180,965.36x = 25,063,832,680.10
  5. Step 5: Solve for x
    x = 25,063,832,680.10/180,965.36
  6. Step 6: Final answer
    x = 138,500.72

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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.