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Finding the Fourth Proportional to 131,212.64, 181,096.64 and 77,494.08

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Solution

The fourth proportional to 131,212.64, 181,096.64 and 77,494.08 is: 106,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,212.64 : 181,096.64 = 77,494.08 : x
  2. Step 2: Convert to fraction form
    131,212.64/181,096.64 = 77,494.08/x
  3. Step 3: Cross multiply
    131,212.64x = 181,096.64 × 77,494.08
  4. Step 4: Simplify right side
    131,212.64x = 14,033,917,507.89
  5. Step 5: Solve for x
    x = 14,033,917,507.89/131,212.64
  6. Step 6: Final answer
    x = 106,955.53

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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.