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Finding the Fourth Proportional to 137,782.84, 190,133.84 and 76,533

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Solution

The fourth proportional to 137,782.84, 190,133.84 and 76,533 is: 105,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.84 : 190,133.84 = 76,533 : x
  2. Step 2: Convert to fraction form
    137,782.84/190,133.84 = 76,533/x
  3. Step 3: Cross multiply
    137,782.84x = 190,133.84 × 76,533
  4. Step 4: Simplify right side
    137,782.84x = 14,551,513,176.72
  5. Step 5: Solve for x
    x = 14,551,513,176.72/137,782.84
  6. Step 6: Final answer
    x = 105,611.94

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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.