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Finding the Fourth Proportional to 156,878.44, 216,511.14 and 89,809

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Solution

The fourth proportional to 156,878.44, 216,511.14 and 89,809 is: 123,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.44 : 216,511.14 = 89,809 : x
  2. Step 2: Convert to fraction form
    156,878.44/216,511.14 = 89,809/x
  3. Step 3: Cross multiply
    156,878.44x = 216,511.14 × 89,809
  4. Step 4: Simplify right side
    156,878.44x = 19,444,648,972.26
  5. Step 5: Solve for x
    x = 19,444,648,972.26/156,878.44
  6. Step 6: Final answer
    x = 123,947.24

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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.