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Finding the Fourth Proportional to 208,269.56, 287,412.18 and 112,776.42

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Solution

The fourth proportional to 208,269.56, 287,412.18 and 112,776.42 is: 155,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269.56 : 287,412.18 = 112,776.42 : x
  2. Step 2: Convert to fraction form
    208,269.56/287,412.18 = 112,776.42/x
  3. Step 3: Cross multiply
    208,269.56x = 287,412.18 × 112,776.42
  4. Step 4: Simplify right side
    208,269.56x = 32,413,316,724.80
  5. Step 5: Solve for x
    x = 32,413,316,724.80/208,269.56
  6. Step 6: Final answer
    x = 155,631.56

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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.