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Finding the Fourth Proportional to 208,129.86, 287,220.13 and 112,636.59

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Solution

The fourth proportional to 208,129.86, 287,220.13 and 112,636.59 is: 155,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.86 : 287,220.13 = 112,636.59 : x
  2. Step 2: Convert to fraction form
    208,129.86/287,220.13 = 112,636.59/x
  3. Step 3: Cross multiply
    208,129.86x = 287,220.13 × 112,636.59
  4. Step 4: Simplify right side
    208,129.86x = 32,351,496,022.56
  5. Step 5: Solve for x
    x = 32,351,496,022.56/208,129.86
  6. Step 6: Final answer
    x = 155,438.99

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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.