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Finding the Fourth Proportional to 208,262.93, 287,402.42 and 112,769.91

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Solution

The fourth proportional to 208,262.93, 287,402.42 and 112,769.91 is: 155,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262.93 : 287,402.42 = 112,769.91 : x
  2. Step 2: Convert to fraction form
    208,262.93/287,402.42 = 112,769.91/x
  3. Step 3: Cross multiply
    208,262.93x = 287,402.42 × 112,769.91
  4. Step 4: Simplify right side
    208,262.93x = 32,410,345,037.18
  5. Step 5: Solve for x
    x = 32,410,345,037.18/208,262.93
  6. Step 6: Final answer
    x = 155,622.25

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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.