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Finding the Fourth Proportional to 146,400, 202,032 and 79,332

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Solution

The fourth proportional to 146,400, 202,032 and 79,332 is: 109,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,400 : 202,032 = 79,332 : x
  2. Step 2: Convert to fraction form
    146,400/202,032 = 79,332/x
  3. Step 3: Cross multiply
    146,400x = 202,032 × 79,332
  4. Step 4: Simplify right side
    146,400x = 16,027,602,624
  5. Step 5: Solve for x
    x = 16,027,602,624/146,400
  6. Step 6: Final answer
    x = 109,478.16

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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.