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Finding the Fourth Proportional to 208,435.86, 287,646.78 and 127,907.88

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Solution

The fourth proportional to 208,435.86, 287,646.78 and 127,907.88 is: 176,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,435.86 : 287,646.78 = 127,907.88 : x
  2. Step 2: Convert to fraction form
    208,435.86/287,646.78 = 127,907.88/x
  3. Step 3: Cross multiply
    208,435.86x = 287,646.78 × 127,907.88
  4. Step 4: Simplify right side
    208,435.86x = 36,792,289,818.63
  5. Step 5: Solve for x
    x = 36,792,289,818.63/208,435.86
  6. Step 6: Final answer
    x = 176,516.12

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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.