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Finding the Fourth Proportional to 208,259.91, 287,403.95 and 127,731.84

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Solution

The fourth proportional to 208,259.91, 287,403.95 and 127,731.84 is: 176,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,259.91 : 287,403.95 = 127,731.84 : x
  2. Step 2: Convert to fraction form
    208,259.91/287,403.95 = 127,731.84/x
  3. Step 3: Cross multiply
    208,259.91x = 287,403.95 × 127,731.84
  4. Step 4: Simplify right side
    208,259.91x = 36,710,633,879.84
  5. Step 5: Solve for x
    x = 36,710,633,879.84/208,259.91
  6. Step 6: Final answer
    x = 176,273.17

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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.