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Finding the Fourth Proportional to 156,641.86, 234,646.77 and 72,284.84

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Solution

The fourth proportional to 156,641.86, 234,646.77 and 72,284.84 is: 108,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,641.86 : 234,646.77 = 72,284.84 : x
  2. Step 2: Convert to fraction form
    156,641.86/234,646.77 = 72,284.84/x
  3. Step 3: Cross multiply
    156,641.86x = 234,646.77 × 72,284.84
  4. Step 4: Simplify right side
    156,641.86x = 16,961,404,203.73
  5. Step 5: Solve for x
    x = 16,961,404,203.73/156,641.86
  6. Step 6: Final answer
    x = 108,281.43

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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.