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Finding the Fourth Proportional to 208,117.48, 287,215.10 and 117,488.80

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Solution

The fourth proportional to 208,117.48, 287,215.10 and 117,488.80 is: 162,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.48 : 287,215.10 = 117,488.80 : x
  2. Step 2: Convert to fraction form
    208,117.48/287,215.10 = 117,488.80/x
  3. Step 3: Cross multiply
    208,117.48x = 287,215.10 × 117,488.80
  4. Step 4: Simplify right side
    208,117.48x = 33,744,557,440.88
  5. Step 5: Solve for x
    x = 33,744,557,440.88/208,117.48
  6. Step 6: Final answer
    x = 162,141.87

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1.5x scale

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.