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Finding the Fourth Proportional to 208,484.88, 287,708.16 and 112,991.64

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Solution

The fourth proportional to 208,484.88, 287,708.16 and 112,991.64 is: 155,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484.88 : 287,708.16 = 112,991.64 : x
  2. Step 2: Convert to fraction form
    208,484.88/287,708.16 = 112,991.64/x
  3. Step 3: Cross multiply
    208,484.88x = 287,708.16 × 112,991.64
  4. Step 4: Simplify right side
    208,484.88x = 32,508,616,839.78
  5. Step 5: Solve for x
    x = 32,508,616,839.78/208,484.88
  6. Step 6: Final answer
    x = 155,927.94

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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.