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Finding the Fourth Proportional to 180,961.31, 249,706.47 and 100,368.65

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Solution

The fourth proportional to 180,961.31, 249,706.47 and 100,368.65 is: 138,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961.31 : 249,706.47 = 100,368.65 : x
  2. Step 2: Convert to fraction form
    180,961.31/249,706.47 = 100,368.65/x
  3. Step 3: Cross multiply
    180,961.31x = 249,706.47 × 100,368.65
  4. Step 4: Simplify right side
    180,961.31x = 25,062,701,290.17
  5. Step 5: Solve for x
    x = 25,062,701,290.17/180,961.31
  6. Step 6: Final answer
    x = 138,497.57

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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.