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Finding the Fourth Proportional to 208,534.28, 312,801.48 and 75,411.56

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Solution

The fourth proportional to 208,534.28, 312,801.48 and 75,411.56 is: 113,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.28 : 312,801.48 = 75,411.56 : x
  2. Step 2: Convert to fraction form
    208,534.28/312,801.48 = 75,411.56/x
  3. Step 3: Cross multiply
    208,534.28x = 312,801.48 × 75,411.56
  4. Step 4: Simplify right side
    208,534.28x = 23,588,847,577.11
  5. Step 5: Solve for x
    x = 23,588,847,577.11/208,534.28
  6. Step 6: Final answer
    x = 113,117.36

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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.