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Finding the Fourth Proportional to 208,502.72, 287,730.65 and 117,855.51

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Solution

The fourth proportional to 208,502.72, 287,730.65 and 117,855.51 is: 162,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,502.72 : 287,730.65 = 117,855.51 : x
  2. Step 2: Convert to fraction form
    208,502.72/287,730.65 = 117,855.51/x
  3. Step 3: Cross multiply
    208,502.72x = 287,730.65 × 117,855.51
  4. Step 4: Simplify right side
    208,502.72x = 33,910,641,051.09
  5. Step 5: Solve for x
    x = 33,910,641,051.09/208,502.72
  6. Step 6: Final answer
    x = 162,638.84

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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.