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Finding the Fourth Proportional to 145,853.91, 218,780.86 and 35,045.91

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Solution

The fourth proportional to 145,853.91, 218,780.86 and 35,045.91 is: 52,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.91 : 218,780.86 = 35,045.91 : x
  2. Step 2: Convert to fraction form
    145,853.91/218,780.86 = 35,045.91/x
  3. Step 3: Cross multiply
    145,853.91x = 218,780.86 × 35,045.91
  4. Step 4: Simplify right side
    145,853.91x = 7,667,373,552.66
  5. Step 5: Solve for x
    x = 7,667,373,552.66/145,853.91
  6. Step 6: Final answer
    x = 52,568.86

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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.