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Finding the Fourth Proportional to 223,608.64, 308,582.24 and 128,113.28

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Solution

The fourth proportional to 223,608.64, 308,582.24 and 128,113.28 is: 176,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,608.64 : 308,582.24 = 128,113.28 : x
  2. Step 2: Convert to fraction form
    223,608.64/308,582.24 = 128,113.28/x
  3. Step 3: Cross multiply
    223,608.64x = 308,582.24 × 128,113.28
  4. Step 4: Simplify right side
    223,608.64x = 39,533,482,916.15
  5. Step 5: Solve for x
    x = 39,533,482,916.15/223,608.64
  6. Step 6: Final answer
    x = 176,797.65

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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.