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Finding the Fourth Proportional to 208,406.28, 287,602.20 and 112,913.58

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Solution

The fourth proportional to 208,406.28, 287,602.20 and 112,913.58 is: 155,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,406.28 : 287,602.20 = 112,913.58 : x
  2. Step 2: Convert to fraction form
    208,406.28/287,602.20 = 112,913.58/x
  3. Step 3: Cross multiply
    208,406.28x = 287,602.20 × 112,913.58
  4. Step 4: Simplify right side
    208,406.28x = 32,474,194,017.88
  5. Step 5: Solve for x
    x = 32,474,194,017.88/208,406.28
  6. Step 6: Final answer
    x = 155,821.57

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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.