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Finding the Fourth Proportional to 223,710.54, 308,733.86 and 128,223.42

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Solution

The fourth proportional to 223,710.54, 308,733.86 and 128,223.42 is: 176,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,710.54 : 308,733.86 = 128,223.42 : x
  2. Step 2: Convert to fraction form
    223,710.54/308,733.86 = 128,223.42/x
  3. Step 3: Cross multiply
    223,710.54x = 308,733.86 × 128,223.42
  4. Step 4: Simplify right side
    223,710.54x = 39,586,911,399.00
  5. Step 5: Solve for x
    x = 39,586,911,399.00/223,710.54
  6. Step 6: Final answer
    x = 176,955.95

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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.