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Finding the Fourth Proportional to 208,384.80, 287,570.64 and 112,893.88

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Solution

The fourth proportional to 208,384.80, 287,570.64 and 112,893.88 is: 155,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,384.80 : 287,570.64 = 112,893.88 : x
  2. Step 2: Convert to fraction form
    208,384.80/287,570.64 = 112,893.88/x
  3. Step 3: Cross multiply
    208,384.80x = 287,570.64 × 112,893.88
  4. Step 4: Simplify right side
    208,384.80x = 32,464,965,323.68
  5. Step 5: Solve for x
    x = 32,464,965,323.68/208,384.80
  6. Step 6: Final answer
    x = 155,793.35

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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.