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Finding the Fourth Proportional to 145,135.86, 217,786.83 and 56,377.86

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Solution

The fourth proportional to 145,135.86, 217,786.83 and 56,377.86 is: 84,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135.86 : 217,786.83 = 56,377.86 : x
  2. Step 2: Convert to fraction form
    145,135.86/217,786.83 = 56,377.86/x
  3. Step 3: Cross multiply
    145,135.86x = 217,786.83 × 56,377.86
  4. Step 4: Simplify right side
    145,135.86x = 12,278,355,411.58
  5. Step 5: Solve for x
    x = 12,278,355,411.58/145,135.86
  6. Step 6: Final answer
    x = 84,599.05

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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.