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Finding the Fourth Proportional to 208,291.34, 312,372.38 and 75,154.34

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Solution

The fourth proportional to 208,291.34, 312,372.38 and 75,154.34 is: 112,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.34 : 312,372.38 = 75,154.34 : x
  2. Step 2: Convert to fraction form
    208,291.34/312,372.38 = 75,154.34/x
  3. Step 3: Cross multiply
    208,291.34x = 312,372.38 × 75,154.34
  4. Step 4: Simplify right side
    208,291.34x = 23,476,140,053.13
  5. Step 5: Solve for x
    x = 23,476,140,053.13/208,291.34
  6. Step 6: Final answer
    x = 112,708.19

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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.