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Finding the Fourth Proportional to 208,149, 287,245.08 and 112,655.70

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Solution

The fourth proportional to 208,149, 287,245.08 and 112,655.70 is: 155,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149 : 287,245.08 = 112,655.70 : x
  2. Step 2: Convert to fraction form
    208,149/287,245.08 = 112,655.70/x
  3. Step 3: Cross multiply
    208,149x = 287,245.08 × 112,655.70
  4. Step 4: Simplify right side
    208,149x = 32,359,795,558.96
  5. Step 5: Solve for x
    x = 32,359,795,558.96/208,149
  6. Step 6: Final answer
    x = 155,464.57

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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.