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Finding the Fourth Proportional to 172,976.16, 238,695.12 and 97,508.64

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Solution

The fourth proportional to 172,976.16, 238,695.12 and 97,508.64 is: 134,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,976.16 : 238,695.12 = 97,508.64 : x
  2. Step 2: Convert to fraction form
    172,976.16/238,695.12 = 97,508.64/x
  3. Step 3: Cross multiply
    172,976.16x = 238,695.12 × 97,508.64
  4. Step 4: Simplify right side
    172,976.16x = 23,274,836,525.84
  5. Step 5: Solve for x
    x = 23,274,836,525.84/172,976.16
  6. Step 6: Final answer
    x = 134,555.17

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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.