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Finding the Fourth Proportional to 208,564.50, 288,056.61 and 141,379.86

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Solution

The fourth proportional to 208,564.50, 288,056.61 and 141,379.86 is: 195,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564.50 : 288,056.61 = 141,379.86 : x
  2. Step 2: Convert to fraction form
    208,564.50/288,056.61 = 141,379.86/x
  3. Step 3: Cross multiply
    208,564.50x = 288,056.61 × 141,379.86
  4. Step 4: Simplify right side
    208,564.50x = 40,725,403,193.87
  5. Step 5: Solve for x
    x = 40,725,403,193.87/208,564.50
  6. Step 6: Final answer
    x = 195,265.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.