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Finding the Fourth Proportional to 180,942.93, 249,702.75 and 100,375.74

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Solution

The fourth proportional to 180,942.93, 249,702.75 and 100,375.74 is: 138,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,942.93 : 249,702.75 = 100,375.74 : x
  2. Step 2: Convert to fraction form
    180,942.93/249,702.75 = 100,375.74/x
  3. Step 3: Cross multiply
    180,942.93x = 249,702.75 × 100,375.74
  4. Step 4: Simplify right side
    180,942.93x = 25,064,098,311.29
  5. Step 5: Solve for x
    x = 25,064,098,311.29/180,942.93
  6. Step 6: Final answer
    x = 138,519.36

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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.