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Finding the Fourth Proportional to 279,143.64, 418,381.89 and 101,442.60

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Solution

The fourth proportional to 279,143.64, 418,381.89 and 101,442.60 is: 152,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,143.64 : 418,381.89 = 101,442.60 : x
  2. Step 2: Convert to fraction form
    279,143.64/418,381.89 = 101,442.60/x
  3. Step 3: Cross multiply
    279,143.64x = 418,381.89 × 101,442.60
  4. Step 4: Simplify right side
    279,143.64x = 42,441,746,714.51
  5. Step 5: Solve for x
    x = 42,441,746,714.51/279,143.64
  6. Step 6: Final answer
    x = 152,042.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.