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Finding the Fourth Proportional to 208,569.90, 312,667.74 and 75,418.86

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Solution

The fourth proportional to 208,569.90, 312,667.74 and 75,418.86 is: 113,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,569.90 : 312,667.74 = 75,418.86 : x
  2. Step 2: Convert to fraction form
    208,569.90/312,667.74 = 75,418.86/x
  3. Step 3: Cross multiply
    208,569.90x = 312,667.74 × 75,418.86
  4. Step 4: Simplify right side
    208,569.90x = 23,581,044,509.58
  5. Step 5: Solve for x
    x = 23,581,044,509.58/208,569.90
  6. Step 6: Final answer
    x = 113,060.63

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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.