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Finding the Fourth Proportional to 138,157.84, 190,657.48 and 77,728.52

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Solution

The fourth proportional to 138,157.84, 190,657.48 and 77,728.52 is: 107,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157.84 : 190,657.48 = 77,728.52 : x
  2. Step 2: Convert to fraction form
    138,157.84/190,657.48 = 77,728.52/x
  3. Step 3: Cross multiply
    138,157.84x = 190,657.48 × 77,728.52
  4. Step 4: Simplify right side
    138,157.84x = 14,819,523,747.33
  5. Step 5: Solve for x
    x = 14,819,523,747.33/138,157.84
  6. Step 6: Final answer
    x = 107,265.17

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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.