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Finding the Fourth Proportional to 180,543.61, 249,178.31 and 103,019.41

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Solution

The fourth proportional to 180,543.61, 249,178.31 and 103,019.41 is: 142,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,543.61 : 249,178.31 = 103,019.41 : x
  2. Step 2: Convert to fraction form
    180,543.61/249,178.31 = 103,019.41/x
  3. Step 3: Cross multiply
    180,543.61x = 249,178.31 × 103,019.41
  4. Step 4: Simplify right side
    180,543.61x = 25,670,202,481.00
  5. Step 5: Solve for x
    x = 25,670,202,481.00/180,543.61
  6. Step 6: Final answer
    x = 142,182.84

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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.