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Finding the Fourth Proportional to 208,141.04, 312,225 and 73,188.56

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Solution

The fourth proportional to 208,141.04, 312,225 and 73,188.56 is: 109,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.04 : 312,225 = 73,188.56 : x
  2. Step 2: Convert to fraction form
    208,141.04/312,225 = 73,188.56/x
  3. Step 3: Cross multiply
    208,141.04x = 312,225 × 73,188.56
  4. Step 4: Simplify right side
    208,141.04x = 22,851,298,146
  5. Step 5: Solve for x
    x = 22,851,298,146/208,141.04
  6. Step 6: Final answer
    x = 109,787.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.