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Finding the Fourth Proportional to 208,326.17, 312,424.76 and 75,189.57

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Solution

The fourth proportional to 208,326.17, 312,424.76 and 75,189.57 is: 112,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326.17 : 312,424.76 = 75,189.57 : x
  2. Step 2: Convert to fraction form
    208,326.17/312,424.76 = 75,189.57/x
  3. Step 3: Cross multiply
    208,326.17x = 312,424.76 × 75,189.57
  4. Step 4: Simplify right side
    208,326.17x = 23,491,082,985.81
  5. Step 5: Solve for x
    x = 23,491,082,985.81/208,326.17
  6. Step 6: Final answer
    x = 112,761.08

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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.