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Finding the Fourth Proportional to 208,328.54, 287,493.84 and 112,835.25

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Solution

The fourth proportional to 208,328.54, 287,493.84 and 112,835.25 is: 155,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,328.54 : 287,493.84 = 112,835.25 : x
  2. Step 2: Convert to fraction form
    208,328.54/287,493.84 = 112,835.25/x
  3. Step 3: Cross multiply
    208,328.54x = 287,493.84 × 112,835.25
  4. Step 4: Simplify right side
    208,328.54x = 32,439,439,309.86
  5. Step 5: Solve for x
    x = 32,439,439,309.86/208,328.54
  6. Step 6: Final answer
    x = 155,712.90

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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.