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Finding the Fourth Proportional to 159,041.71, 219,478.05 and 87,429.07

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Solution

The fourth proportional to 159,041.71, 219,478.05 and 87,429.07 is: 120,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,041.71 : 219,478.05 = 87,429.07 : x
  2. Step 2: Convert to fraction form
    159,041.71/219,478.05 = 87,429.07/x
  3. Step 3: Cross multiply
    159,041.71x = 219,478.05 × 87,429.07
  4. Step 4: Simplify right side
    159,041.71x = 19,188,761,796.91
  5. Step 5: Solve for x
    x = 19,188,761,796.91/159,041.71
  6. Step 6: Final answer
    x = 120,652.39

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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.