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Finding the Fourth Proportional to 281,154.37, 387,869.80 and 164,808.88

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Solution

The fourth proportional to 281,154.37, 387,869.80 and 164,808.88 is: 227,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,154.37 : 387,869.80 = 164,808.88 : x
  2. Step 2: Convert to fraction form
    281,154.37/387,869.80 = 164,808.88/x
  3. Step 3: Cross multiply
    281,154.37x = 387,869.80 × 164,808.88
  4. Step 4: Simplify right side
    281,154.37x = 63,924,387,323.82
  5. Step 5: Solve for x
    x = 63,924,387,323.82/281,154.37
  6. Step 6: Final answer
    x = 227,364.02

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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.