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Finding the Fourth Proportional to 180,696.78, 249,361.32 and 100,129.53

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Solution

The fourth proportional to 180,696.78, 249,361.32 and 100,129.53 is: 138,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,696.78 : 249,361.32 = 100,129.53 : x
  2. Step 2: Convert to fraction form
    180,696.78/249,361.32 = 100,129.53/x
  3. Step 3: Cross multiply
    180,696.78x = 249,361.32 × 100,129.53
  4. Step 4: Simplify right side
    180,696.78x = 24,968,431,771.78
  5. Step 5: Solve for x
    x = 24,968,431,771.78/180,696.78
  6. Step 6: Final answer
    x = 138,178.62

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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.