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Finding the Fourth Proportional to 223,868.80, 308,929.98 and 128,309.32

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Solution

The fourth proportional to 223,868.80, 308,929.98 and 128,309.32 is: 177,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,868.80 : 308,929.98 = 128,309.32 : x
  2. Step 2: Convert to fraction form
    223,868.80/308,929.98 = 128,309.32/x
  3. Step 3: Cross multiply
    223,868.80x = 308,929.98 × 128,309.32
  4. Step 4: Simplify right side
    223,868.80x = 39,638,595,661.41
  5. Step 5: Solve for x
    x = 39,638,595,661.41/223,868.80
  6. Step 6: Final answer
    x = 177,061.72

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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.