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Finding the Fourth Proportional to 208,509.12, 287,781.12 and 119,085.12

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Solution

The fourth proportional to 208,509.12, 287,781.12 and 119,085.12 is: 164,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.12 : 287,781.12 = 119,085.12 : x
  2. Step 2: Convert to fraction form
    208,509.12/287,781.12 = 119,085.12/x
  3. Step 3: Cross multiply
    208,509.12x = 287,781.12 × 119,085.12
  4. Step 4: Simplify right side
    208,509.12x = 34,270,449,208.93
  5. Step 5: Solve for x
    x = 34,270,449,208.93/208,509.12
  6. Step 6: Final answer
    x = 164,359.47

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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.