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Finding the Fourth Proportional to 180,876.80, 249,695.70 and 120,548.00

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Solution

The fourth proportional to 180,876.80, 249,695.70 and 120,548.00 is: 166,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,876.80 : 249,695.70 = 120,548.00 : x
  2. Step 2: Convert to fraction form
    180,876.80/249,695.70 = 120,548.00/x
  3. Step 3: Cross multiply
    180,876.80x = 249,695.70 × 120,548.00
  4. Step 4: Simplify right side
    180,876.80x = 30,100,317,415.78
  5. Step 5: Solve for x
    x = 30,100,317,415.78/180,876.80
  6. Step 6: Final answer
    x = 166,413.37

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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.