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Finding the Fourth Proportional to 137,801.28, 190,133.28 and 78,185.28

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Solution

The fourth proportional to 137,801.28, 190,133.28 and 78,185.28 is: 107,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,801.28 : 190,133.28 = 78,185.28 : x
  2. Step 2: Convert to fraction form
    137,801.28/190,133.28 = 78,185.28/x
  3. Step 3: Cross multiply
    137,801.28x = 190,133.28 × 78,185.28
  4. Step 4: Simplify right side
    137,801.28x = 14,865,623,734.12
  5. Step 5: Solve for x
    x = 14,865,623,734.12/137,801.28
  6. Step 6: Final answer
    x = 107,877.25

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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.