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Finding the Fourth Proportional to 208,529.64, 287,763.16 and 113,034.28

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Solution

The fourth proportional to 208,529.64, 287,763.16 and 113,034.28 is: 155,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,529.64 : 287,763.16 = 113,034.28 : x
  2. Step 2: Convert to fraction form
    208,529.64/287,763.16 = 113,034.28/x
  3. Step 3: Cross multiply
    208,529.64x = 287,763.16 × 113,034.28
  4. Step 4: Simplify right side
    208,529.64x = 32,527,101,601.12
  5. Step 5: Solve for x
    x = 32,527,101,601.12/208,529.64
  6. Step 6: Final answer
    x = 155,983.11

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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.