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Finding the Fourth Proportional to 128,850.71, 177,805.95 and 77,833.30

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Solution

The fourth proportional to 128,850.71, 177,805.95 and 77,833.30 is: 107,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850.71 : 177,805.95 = 77,833.30 : x
  2. Step 2: Convert to fraction form
    128,850.71/177,805.95 = 77,833.30/x
  3. Step 3: Cross multiply
    128,850.71x = 177,805.95 × 77,833.30
  4. Step 4: Simplify right side
    128,850.71x = 13,839,223,848.14
  5. Step 5: Solve for x
    x = 13,839,223,848.14/128,850.71
  6. Step 6: Final answer
    x = 107,405.10

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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.