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Finding the Fourth Proportional to 208,490.30, 287,708.90 and 112,994.96

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Solution

The fourth proportional to 208,490.30, 287,708.90 and 112,994.96 is: 155,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.30 : 287,708.90 = 112,994.96 : x
  2. Step 2: Convert to fraction form
    208,490.30/287,708.90 = 112,994.96/x
  3. Step 3: Cross multiply
    208,490.30x = 287,708.90 × 112,994.96
  4. Step 4: Simplify right side
    208,490.30x = 32,509,655,647.14
  5. Step 5: Solve for x
    x = 32,509,655,647.14/208,490.30
  6. Step 6: Final answer
    x = 155,928.86

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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.