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Finding the Fourth Proportional to 223,915.40, 308,989.23 and 123,313.40

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Solution

The fourth proportional to 223,915.40, 308,989.23 and 123,313.40 is: 170,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,915.40 : 308,989.23 = 123,313.40 : x
  2. Step 2: Convert to fraction form
    223,915.40/308,989.23 = 123,313.40/x
  3. Step 3: Cross multiply
    223,915.40x = 308,989.23 × 123,313.40
  4. Step 4: Simplify right side
    223,915.40x = 38,102,510,969.74
  5. Step 5: Solve for x
    x = 38,102,510,969.74/223,915.40
  6. Step 6: Final answer
    x = 170,164.77

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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.