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Finding the Fourth Proportional to 208,652.84, 287,939.34 and 113,159.72

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Solution

The fourth proportional to 208,652.84, 287,939.34 and 113,159.72 is: 156,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,652.84 : 287,939.34 = 113,159.72 : x
  2. Step 2: Convert to fraction form
    208,652.84/287,939.34 = 113,159.72/x
  3. Step 3: Cross multiply
    208,652.84x = 287,939.34 × 113,159.72
  4. Step 4: Simplify right side
    208,652.84x = 32,583,135,091.38
  5. Step 5: Solve for x
    x = 32,583,135,091.38/208,652.84
  6. Step 6: Final answer
    x = 156,159.56

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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.