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Finding the Fourth Proportional to 208,228.48, 287,200 and 135,647.36

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Solution

The fourth proportional to 208,228.48, 287,200 and 135,647.36 is: 187,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,228.48 : 287,200 = 135,647.36 : x
  2. Step 2: Convert to fraction form
    208,228.48/287,200 = 135,647.36/x
  3. Step 3: Cross multiply
    208,228.48x = 287,200 × 135,647.36
  4. Step 4: Simplify right side
    208,228.48x = 38,957,921,792.00
  5. Step 5: Solve for x
    x = 38,957,921,792.00/208,228.48
  6. Step 6: Final answer
    x = 187,092.19

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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.