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Finding the Fourth Proportional to 172,767.36, 238,409.76 and 97,311.12

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Solution

The fourth proportional to 172,767.36, 238,409.76 and 97,311.12 is: 134,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,767.36 : 238,409.76 = 97,311.12 : x
  2. Step 2: Convert to fraction form
    172,767.36/238,409.76 = 97,311.12/x
  3. Step 3: Cross multiply
    172,767.36x = 238,409.76 × 97,311.12
  4. Step 4: Simplify right side
    172,767.36x = 23,199,920,764.53
  5. Step 5: Solve for x
    x = 23,199,920,764.53/172,767.36
  6. Step 6: Final answer
    x = 134,284.17

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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.