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Finding the Fourth Proportional to 159,405.84, 219,978.41 and 87,784.34

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Solution

The fourth proportional to 159,405.84, 219,978.41 and 87,784.34 is: 121,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,405.84 : 219,978.41 = 87,784.34 : x
  2. Step 2: Convert to fraction form
    159,405.84/219,978.41 = 87,784.34/x
  3. Step 3: Cross multiply
    159,405.84x = 219,978.41 × 87,784.34
  4. Step 4: Simplify right side
    159,405.84x = 19,310,657,997.29
  5. Step 5: Solve for x
    x = 19,310,657,997.29/159,405.84
  6. Step 6: Final answer
    x = 121,141.47

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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.