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Finding the Fourth Proportional to 208,399.22, 287,592.30 and 112,905.91

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Solution

The fourth proportional to 208,399.22, 287,592.30 and 112,905.91 is: 155,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,399.22 : 287,592.30 = 112,905.91 : x
  2. Step 2: Convert to fraction form
    208,399.22/287,592.30 = 112,905.91/x
  3. Step 3: Cross multiply
    208,399.22x = 287,592.30 × 112,905.91
  4. Step 4: Simplify right side
    208,399.22x = 32,470,870,340.49
  5. Step 5: Solve for x
    x = 32,470,870,340.49/208,399.22
  6. Step 6: Final answer
    x = 155,810.90

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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.