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Finding the Fourth Proportional to 172,903.12, 238,612.98 and 97,450

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Solution

The fourth proportional to 172,903.12, 238,612.98 and 97,450 is: 134,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,903.12 : 238,612.98 = 97,450 : x
  2. Step 2: Convert to fraction form
    172,903.12/238,612.98 = 97,450/x
  3. Step 3: Cross multiply
    172,903.12x = 238,612.98 × 97,450
  4. Step 4: Simplify right side
    172,903.12x = 23,252,834,901
  5. Step 5: Solve for x
    x = 23,252,834,901/172,903.12
  6. Step 6: Final answer
    x = 134,484.76

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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.