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Finding the Fourth Proportional to 102,745.62, 141,777 and 57,423.69

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Solution

The fourth proportional to 102,745.62, 141,777 and 57,423.69 is: 79,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,745.62 : 141,777 = 57,423.69 : x
  2. Step 2: Convert to fraction form
    102,745.62/141,777 = 57,423.69/x
  3. Step 3: Cross multiply
    102,745.62x = 141,777 × 57,423.69
  4. Step 4: Simplify right side
    102,745.62x = 8,141,358,497.13
  5. Step 5: Solve for x
    x = 8,141,358,497.13/102,745.62
  6. Step 6: Final answer
    x = 79,238.01

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1.5x scale

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.