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Finding the Fourth Proportional to 206,980.24, 310,210.64 and 88,512.32

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Solution

The fourth proportional to 206,980.24, 310,210.64 and 88,512.32 is: 132,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,980.24 : 310,210.64 = 88,512.32 : x
  2. Step 2: Convert to fraction form
    206,980.24/310,210.64 = 88,512.32/x
  3. Step 3: Cross multiply
    206,980.24x = 310,210.64 × 88,512.32
  4. Step 4: Simplify right side
    206,980.24x = 27,457,463,435.08
  5. Step 5: Solve for x
    x = 27,457,463,435.08/206,980.24
  6. Step 6: Final answer
    x = 132,657.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.