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Finding the Fourth Proportional to 141,055.73, 194,655.38 and 77,393.51

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Solution

The fourth proportional to 141,055.73, 194,655.38 and 77,393.51 is: 106,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,055.73 : 194,655.38 = 77,393.51 : x
  2. Step 2: Convert to fraction form
    141,055.73/194,655.38 = 77,393.51/x
  3. Step 3: Cross multiply
    141,055.73x = 194,655.38 × 77,393.51
  4. Step 4: Simplify right side
    141,055.73x = 15,065,061,738.34
  5. Step 5: Solve for x
    x = 15,065,061,738.34/141,055.73
  6. Step 6: Final answer
    x = 106,802.20

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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.