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Finding the Fourth Proportional to 208,484.31, 287,708.85 and 112,990.98

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Solution

The fourth proportional to 208,484.31, 287,708.85 and 112,990.98 is: 155,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484.31 : 287,708.85 = 112,990.98 : x
  2. Step 2: Convert to fraction form
    208,484.31/287,708.85 = 112,990.98/x
  3. Step 3: Cross multiply
    208,484.31x = 287,708.85 × 112,990.98
  4. Step 4: Simplify right side
    208,484.31x = 32,508,504,351.22
  5. Step 5: Solve for x
    x = 32,508,504,351.22/208,484.31
  6. Step 6: Final answer
    x = 155,927.82

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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.