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Finding the Fourth Proportional to 208,079.74, 287,148 and 112,584.34

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Solution

The fourth proportional to 208,079.74, 287,148 and 112,584.34 is: 155,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,079.74 : 287,148 = 112,584.34 : x
  2. Step 2: Convert to fraction form
    208,079.74/287,148 = 112,584.34/x
  3. Step 3: Cross multiply
    208,079.74x = 287,148 × 112,584.34
  4. Step 4: Simplify right side
    208,079.74x = 32,328,368,062.32
  5. Step 5: Solve for x
    x = 32,328,368,062.32/208,079.74
  6. Step 6: Final answer
    x = 155,365.28

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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.