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Finding the Fourth Proportional to 146,664, 202,400.64 and 79,600.32

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Solution

The fourth proportional to 146,664, 202,400.64 and 79,600.32 is: 109,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,664 : 202,400.64 = 79,600.32 : x
  2. Step 2: Convert to fraction form
    146,664/202,400.64 = 79,600.32/x
  3. Step 3: Cross multiply
    146,664x = 202,400.64 × 79,600.32
  4. Step 4: Simplify right side
    146,664x = 16,111,155,712.20
  5. Step 5: Solve for x
    x = 16,111,155,712.20/146,664
  6. Step 6: Final answer
    x = 109,850.79

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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.