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Finding the Fourth Proportional to 145,134.86, 217,785.33 and 56,376.86

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Solution

The fourth proportional to 145,134.86, 217,785.33 and 56,376.86 is: 84,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,134.86 : 217,785.33 = 56,376.86 : x
  2. Step 2: Convert to fraction form
    145,134.86/217,785.33 = 56,376.86/x
  3. Step 3: Cross multiply
    145,134.86x = 217,785.33 × 56,376.86
  4. Step 4: Simplify right side
    145,134.86x = 12,278,051,970.54
  5. Step 5: Solve for x
    x = 12,278,051,970.54/145,134.86
  6. Step 6: Final answer
    x = 84,597.54

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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.