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Finding the Fourth Proportional to 145,876.34, 218,814.51 and 39,260.54

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Solution

The fourth proportional to 145,876.34, 218,814.51 and 39,260.54 is: 58,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876.34 : 218,814.51 = 39,260.54 : x
  2. Step 2: Convert to fraction form
    145,876.34/218,814.51 = 39,260.54/x
  3. Step 3: Cross multiply
    145,876.34x = 218,814.51 × 39,260.54
  4. Step 4: Simplify right side
    145,876.34x = 8,590,775,822.44
  5. Step 5: Solve for x
    x = 8,590,775,822.44/145,876.34
  6. Step 6: Final answer
    x = 58,890.81

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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.