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Finding the Fourth Proportional to 137,643.90, 192,307.80 and 137,643.90

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Solution

The fourth proportional to 137,643.90, 192,307.80 and 137,643.90 is: 192,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,643.90 : 192,307.80 = 137,643.90 : x
  2. Step 2: Convert to fraction form
    137,643.90/192,307.80 = 137,643.90/x
  3. Step 3: Cross multiply
    137,643.90x = 192,307.80 × 137,643.90
  4. Step 4: Simplify right side
    137,643.90x = 26,469,995,592.42
  5. Step 5: Solve for x
    x = 26,469,995,592.42/137,643.90
  6. Step 6: Final answer
    x = 192,307.80

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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.