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Finding the Fourth Proportional to 146,738, 202,502.76 and 79,674.32

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Solution

The fourth proportional to 146,738, 202,502.76 and 79,674.32 is: 109,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,738 : 202,502.76 = 79,674.32 : x
  2. Step 2: Convert to fraction form
    146,738/202,502.76 = 79,674.32/x
  3. Step 3: Cross multiply
    146,738x = 202,502.76 × 79,674.32
  4. Step 4: Simplify right side
    146,738x = 16,134,269,701.12
  5. Step 5: Solve for x
    x = 16,134,269,701.12/146,738
  6. Step 6: Final answer
    x = 109,952.91

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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.