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Finding the Fourth Proportional to 103,752.82, 155,677.82 and 51,133.60

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Solution

The fourth proportional to 103,752.82, 155,677.82 and 51,133.60 is: 76,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,752.82 : 155,677.82 = 51,133.60 : x
  2. Step 2: Convert to fraction form
    103,752.82/155,677.82 = 51,133.60/x
  3. Step 3: Cross multiply
    103,752.82x = 155,677.82 × 51,133.60
  4. Step 4: Simplify right side
    103,752.82x = 7,960,367,376.75
  5. Step 5: Solve for x
    x = 7,960,367,376.75/103,752.82
  6. Step 6: Final answer
    x = 76,724.35

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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.