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Finding the Fourth Proportional to 141,155.80, 194,783.43 and 77,491.42

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Solution

The fourth proportional to 141,155.80, 194,783.43 and 77,491.42 is: 106,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,155.80 : 194,783.43 = 77,491.42 : x
  2. Step 2: Convert to fraction form
    141,155.80/194,783.43 = 77,491.42/x
  3. Step 3: Cross multiply
    141,155.80x = 194,783.43 × 77,491.42
  4. Step 4: Simplify right side
    141,155.80x = 15,094,044,583.17
  5. Step 5: Solve for x
    x = 15,094,044,583.17/141,155.80
  6. Step 6: Final answer
    x = 106,931.81

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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.