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Finding the Fourth Proportional to 131,649.72, 181,649.76 and 77,907.84

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Solution

The fourth proportional to 131,649.72, 181,649.76 and 77,907.84 is: 107,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,649.72 : 181,649.76 = 77,907.84 : x
  2. Step 2: Convert to fraction form
    131,649.72/181,649.76 = 77,907.84/x
  3. Step 3: Cross multiply
    131,649.72x = 181,649.76 × 77,907.84
  4. Step 4: Simplify right side
    131,649.72x = 14,151,940,438.12
  5. Step 5: Solve for x
    x = 14,151,940,438.12/131,649.72
  6. Step 6: Final answer
    x = 107,496.93

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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.