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Finding the Fourth Proportional to 208,565.37, 287,798.67 and 127,996.29

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Solution

The fourth proportional to 208,565.37, 287,798.67 and 127,996.29 is: 176,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.37 : 287,798.67 = 127,996.29 : x
  2. Step 2: Convert to fraction form
    208,565.37/287,798.67 = 127,996.29/x
  3. Step 3: Cross multiply
    208,565.37x = 287,798.67 × 127,996.29
  4. Step 4: Simplify right side
    208,565.37x = 36,837,162,026.93
  5. Step 5: Solve for x
    x = 36,837,162,026.93/208,565.37
  6. Step 6: Final answer
    x = 176,621.66

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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.