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Finding the Fourth Proportional to 205,646.68, 308,381.79 and 70,724.34

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Solution

The fourth proportional to 205,646.68, 308,381.79 and 70,724.34 is: 106,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,646.68 : 308,381.79 = 70,724.34 : x
  2. Step 2: Convert to fraction form
    205,646.68/308,381.79 = 70,724.34/x
  3. Step 3: Cross multiply
    205,646.68x = 308,381.79 × 70,724.34
  4. Step 4: Simplify right side
    205,646.68x = 21,810,098,830.98
  5. Step 5: Solve for x
    x = 21,810,098,830.98/205,646.68
  6. Step 6: Final answer
    x = 106,056.17

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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.