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Finding the Fourth Proportional to 145,136.86, 217,788.33 and 56,378.86

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Solution

The fourth proportional to 145,136.86, 217,788.33 and 56,378.86 is: 84,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,136.86 : 217,788.33 = 56,378.86 : x
  2. Step 2: Convert to fraction form
    145,136.86/217,788.33 = 56,378.86/x
  3. Step 3: Cross multiply
    145,136.86x = 217,788.33 × 56,378.86
  4. Step 4: Simplify right side
    145,136.86x = 12,278,657,766.70
  5. Step 5: Solve for x
    x = 12,278,657,766.70/145,136.86
  6. Step 6: Final answer
    x = 84,600.55

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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.