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Finding the Fourth Proportional to 131,461.86, 181,454.53 and 77,765.54

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Solution

The fourth proportional to 131,461.86, 181,454.53 and 77,765.54 is: 107,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,461.86 : 181,454.53 = 77,765.54 : x
  2. Step 2: Convert to fraction form
    131,461.86/181,454.53 = 77,765.54/x
  3. Step 3: Cross multiply
    131,461.86x = 181,454.53 × 77,765.54
  4. Step 4: Simplify right side
    131,461.86x = 14,110,909,122.07
  5. Step 5: Solve for x
    x = 14,110,909,122.07/131,461.86
  6. Step 6: Final answer
    x = 107,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.