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Finding the Fourth Proportional to 149,403.80, 209,690.20 and 149,403.80

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Solution

The fourth proportional to 149,403.80, 209,690.20 and 149,403.80 is: 209,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,403.80 : 209,690.20 = 149,403.80 : x
  2. Step 2: Convert to fraction form
    149,403.80/209,690.20 = 149,403.80/x
  3. Step 3: Cross multiply
    149,403.80x = 209,690.20 × 149,403.80
  4. Step 4: Simplify right side
    149,403.80x = 31,328,512,702.76
  5. Step 5: Solve for x
    x = 31,328,512,702.76/149,403.80
  6. Step 6: Final answer
    x = 209,690.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.