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Finding the Fourth Proportional to 140,769.78, 211,129.16 and 56,526.54

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Solution

The fourth proportional to 140,769.78, 211,129.16 and 56,526.54 is: 84,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,769.78 : 211,129.16 = 56,526.54 : x
  2. Step 2: Convert to fraction form
    140,769.78/211,129.16 = 56,526.54/x
  3. Step 3: Cross multiply
    140,769.78x = 211,129.16 × 56,526.54
  4. Step 4: Simplify right side
    140,769.78x = 11,934,400,625.27
  5. Step 5: Solve for x
    x = 11,934,400,625.27/140,769.78
  6. Step 6: Final answer
    x = 84,779.56

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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.