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Finding the Fourth Proportional to 205,434.93, 308,123.70 and 70,496.88

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Solution

The fourth proportional to 205,434.93, 308,123.70 and 70,496.88 is: 105,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.93 : 308,123.70 = 70,496.88 : x
  2. Step 2: Convert to fraction form
    205,434.93/308,123.70 = 70,496.88/x
  3. Step 3: Cross multiply
    205,434.93x = 308,123.70 × 70,496.88
  4. Step 4: Simplify right side
    205,434.93x = 21,721,759,817.42
  5. Step 5: Solve for x
    x = 21,721,759,817.42/205,434.93
  6. Step 6: Final answer
    x = 105,735.47

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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.