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Finding the Fourth Proportional to 223,572.54, 308,573.94 and 128,143.20

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Solution

The fourth proportional to 223,572.54, 308,573.94 and 128,143.20 is: 176,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,572.54 : 308,573.94 = 128,143.20 : x
  2. Step 2: Convert to fraction form
    223,572.54/308,573.94 = 128,143.20/x
  3. Step 3: Cross multiply
    223,572.54x = 308,573.94 × 128,143.20
  4. Step 4: Simplify right side
    223,572.54x = 39,541,652,108.21
  5. Step 5: Solve for x
    x = 39,541,652,108.21/223,572.54
  6. Step 6: Final answer
    x = 176,862.74

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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.