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Finding the Fourth Proportional to 281,155.37, 387,871.18 and 164,809.88

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Solution

The fourth proportional to 281,155.37, 387,871.18 and 164,809.88 is: 227,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,155.37 : 387,871.18 = 164,809.88 : x
  2. Step 2: Convert to fraction form
    281,155.37/387,871.18 = 164,809.88/x
  3. Step 3: Cross multiply
    281,155.37x = 387,871.18 × 164,809.88
  4. Step 4: Simplify right side
    281,155.37x = 63,925,002,631.26
  5. Step 5: Solve for x
    x = 63,925,002,631.26/281,155.37
  6. Step 6: Final answer
    x = 227,365.40

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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.