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Finding the Fourth Proportional to 208,549.80, 287,800.20 and 113,058

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Solution

The fourth proportional to 208,549.80, 287,800.20 and 113,058 is: 156,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,549.80 : 287,800.20 = 113,058 : x
  2. Step 2: Convert to fraction form
    208,549.80/287,800.20 = 113,058/x
  3. Step 3: Cross multiply
    208,549.80x = 287,800.20 × 113,058
  4. Step 4: Simplify right side
    208,549.80x = 32,538,115,011.60
  5. Step 5: Solve for x
    x = 32,538,115,011.60/208,549.80
  6. Step 6: Final answer
    x = 156,020.84

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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.