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Finding the Fourth Proportional to 180,963.48, 249,729.90 and 100,391.01

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Solution

The fourth proportional to 180,963.48, 249,729.90 and 100,391.01 is: 138,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,963.48 : 249,729.90 = 100,391.01 : x
  2. Step 2: Convert to fraction form
    180,963.48/249,729.90 = 100,391.01/x
  3. Step 3: Cross multiply
    180,963.48x = 249,729.90 × 100,391.01
  4. Step 4: Simplify right side
    180,963.48x = 25,070,635,857.60
  5. Step 5: Solve for x
    x = 25,070,635,857.60/180,963.48
  6. Step 6: Final answer
    x = 138,539.75

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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.