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Finding the Fourth Proportional to 205,428, 308,141.90 and 77,368.42

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Solution

The fourth proportional to 205,428, 308,141.90 and 77,368.42 is: 116,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,428 : 308,141.90 = 77,368.42 : x
  2. Step 2: Convert to fraction form
    205,428/308,141.90 = 77,368.42/x
  3. Step 3: Cross multiply
    205,428x = 308,141.90 × 77,368.42
  4. Step 4: Simplify right side
    205,428x = 23,840,451,938.80
  5. Step 5: Solve for x
    x = 23,840,451,938.80/205,428
  6. Step 6: Final answer
    x = 116,052.59

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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.