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Finding the Fourth Proportional to 159,076.69, 219,527.31 and 87,457.22

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Solution

The fourth proportional to 159,076.69, 219,527.31 and 87,457.22 is: 120,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,076.69 : 219,527.31 = 87,457.22 : x
  2. Step 2: Convert to fraction form
    159,076.69/219,527.31 = 87,457.22/x
  3. Step 3: Cross multiply
    159,076.69x = 219,527.31 × 87,457.22
  4. Step 4: Simplify right side
    159,076.69x = 19,199,248,300.23
  5. Step 5: Solve for x
    x = 19,199,248,300.23/159,076.69
  6. Step 6: Final answer
    x = 120,691.77

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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.