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Finding the Fourth Proportional to 208,414.58, 287,612.39 and 112,921.20

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Solution

The fourth proportional to 208,414.58, 287,612.39 and 112,921.20 is: 155,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.58 : 287,612.39 = 112,921.20 : x
  2. Step 2: Convert to fraction form
    208,414.58/287,612.39 = 112,921.20/x
  3. Step 3: Cross multiply
    208,414.58x = 287,612.39 × 112,921.20
  4. Step 4: Simplify right side
    208,414.58x = 32,477,536,495.97
  5. Step 5: Solve for x
    x = 32,477,536,495.97/208,414.58
  6. Step 6: Final answer
    x = 155,831.41

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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.