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Finding the Fourth Proportional to 208,639.84, 287,921.40 and 113,146.72

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Solution

The fourth proportional to 208,639.84, 287,921.40 and 113,146.72 is: 156,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,639.84 : 287,921.40 = 113,146.72 : x
  2. Step 2: Convert to fraction form
    208,639.84/287,921.40 = 113,146.72/x
  3. Step 3: Cross multiply
    208,639.84x = 287,921.40 × 113,146.72
  4. Step 4: Simplify right side
    208,639.84x = 32,577,362,027.81
  5. Step 5: Solve for x
    x = 32,577,362,027.81/208,639.84
  6. Step 6: Final answer
    x = 156,141.62

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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.