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Finding the Fourth Proportional to 208,264.96, 287,403.42 and 112,770.28

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Solution

The fourth proportional to 208,264.96, 287,403.42 and 112,770.28 is: 155,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,264.96 : 287,403.42 = 112,770.28 : x
  2. Step 2: Convert to fraction form
    208,264.96/287,403.42 = 112,770.28/x
  3. Step 3: Cross multiply
    208,264.96x = 287,403.42 × 112,770.28
  4. Step 4: Simplify right side
    208,264.96x = 32,410,564,146.36
  5. Step 5: Solve for x
    x = 32,410,564,146.36/208,264.96
  6. Step 6: Final answer
    x = 155,621.78

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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.