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Finding the Fourth Proportional to 208,129.76, 287,219.06 and 112,636.45

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Solution

The fourth proportional to 208,129.76, 287,219.06 and 112,636.45 is: 155,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.76 : 287,219.06 = 112,636.45 : x
  2. Step 2: Convert to fraction form
    208,129.76/287,219.06 = 112,636.45/x
  3. Step 3: Cross multiply
    208,129.76x = 287,219.06 × 112,636.45
  4. Step 4: Simplify right side
    208,129.76x = 32,351,335,508.97
  5. Step 5: Solve for x
    x = 32,351,335,508.97/208,129.76
  6. Step 6: Final answer
    x = 155,438.30

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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.