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Finding the Fourth Proportional to 208,647.84, 287,932.44 and 113,154.72

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Solution

The fourth proportional to 208,647.84, 287,932.44 and 113,154.72 is: 156,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,647.84 : 287,932.44 = 113,154.72 : x
  2. Step 2: Convert to fraction form
    208,647.84/287,932.44 = 113,154.72/x
  3. Step 3: Cross multiply
    208,647.84x = 287,932.44 × 113,154.72
  4. Step 4: Simplify right side
    208,647.84x = 32,580,914,627.12
  5. Step 5: Solve for x
    x = 32,580,914,627.12/208,647.84
  6. Step 6: Final answer
    x = 156,152.66

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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.