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Finding the Fourth Proportional to 208,269.72, 287,412.36 and 112,776.49

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Solution

The fourth proportional to 208,269.72, 287,412.36 and 112,776.49 is: 155,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,269.72 : 287,412.36 = 112,776.49 : x
  2. Step 2: Convert to fraction form
    208,269.72/287,412.36 = 112,776.49/x
  3. Step 3: Cross multiply
    208,269.72x = 287,412.36 × 112,776.49
  4. Step 4: Simplify right side
    208,269.72x = 32,413,357,143.42
  5. Step 5: Solve for x
    x = 32,413,357,143.42/208,269.72
  6. Step 6: Final answer
    x = 155,631.64

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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.