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Finding the Fourth Proportional to 92,642.32, 138,285.50 and 79,578.64

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Solution

The fourth proportional to 92,642.32, 138,285.50 and 79,578.64 is: 118,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.32 : 138,285.50 = 79,578.64 : x
  2. Step 2: Convert to fraction form
    92,642.32/138,285.50 = 79,578.64/x
  3. Step 3: Cross multiply
    92,642.32x = 138,285.50 × 79,578.64
  4. Step 4: Simplify right side
    92,642.32x = 11,004,572,021.72
  5. Step 5: Solve for x
    x = 11,004,572,021.72/92,642.32
  6. Step 6: Final answer
    x = 118,785.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.