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Finding the Fourth Proportional to 141,130.56, 194,729.76 and 81,480

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Solution

The fourth proportional to 141,130.56, 194,729.76 and 81,480 is: 112,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,130.56 : 194,729.76 = 81,480 : x
  2. Step 2: Convert to fraction form
    141,130.56/194,729.76 = 81,480/x
  3. Step 3: Cross multiply
    141,130.56x = 194,729.76 × 81,480
  4. Step 4: Simplify right side
    141,130.56x = 15,866,580,844.80
  5. Step 5: Solve for x
    x = 15,866,580,844.80/141,130.56
  6. Step 6: Final answer
    x = 112,424.84

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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.