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Finding the Fourth Proportional to 128,307.52, 192,469.14 and 49,421.98

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Solution

The fourth proportional to 128,307.52, 192,469.14 and 49,421.98 is: 74,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,307.52 : 192,469.14 = 49,421.98 : x
  2. Step 2: Convert to fraction form
    128,307.52/192,469.14 = 49,421.98/x
  3. Step 3: Cross multiply
    128,307.52x = 192,469.14 × 49,421.98
  4. Step 4: Simplify right side
    128,307.52x = 9,512,205,987.70
  5. Step 5: Solve for x
    x = 9,512,205,987.70/128,307.52
  6. Step 6: Final answer
    x = 74,136.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.