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Finding the Fourth Proportional to 180,476.30, 249,079.53 and 102,971.01

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Solution

The fourth proportional to 180,476.30, 249,079.53 and 102,971.01 is: 142,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,476.30 : 249,079.53 = 102,971.01 : x
  2. Step 2: Convert to fraction form
    180,476.30/249,079.53 = 102,971.01/x
  3. Step 3: Cross multiply
    180,476.30x = 249,079.53 × 102,971.01
  4. Step 4: Simplify right side
    180,476.30x = 25,647,970,774.43
  5. Step 5: Solve for x
    x = 25,647,970,774.43/180,476.30
  6. Step 6: Final answer
    x = 142,112.68

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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.