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Finding the Fourth Proportional to 208,086, 287,156.62 and 112,590.60

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Solution

The fourth proportional to 208,086, 287,156.62 and 112,590.60 is: 155,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086 : 287,156.62 = 112,590.60 : x
  2. Step 2: Convert to fraction form
    208,086/287,156.62 = 112,590.60/x
  3. Step 3: Cross multiply
    208,086x = 287,156.62 × 112,590.60
  4. Step 4: Simplify right side
    208,086x = 32,331,136,139.77
  5. Step 5: Solve for x
    x = 32,331,136,139.77/208,086
  6. Step 6: Final answer
    x = 155,373.91

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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.