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Finding the Fourth Proportional to 172,967.51, 238,694.77 and 97,515.47

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Solution

The fourth proportional to 172,967.51, 238,694.77 and 97,515.47 is: 134,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,967.51 : 238,694.77 = 97,515.47 : x
  2. Step 2: Convert to fraction form
    172,967.51/238,694.77 = 97,515.47/x
  3. Step 3: Cross multiply
    172,967.51x = 238,694.77 × 97,515.47
  4. Step 4: Simplify right side
    172,967.51x = 23,276,432,683.09
  5. Step 5: Solve for x
    x = 23,276,432,683.09/172,967.51
  6. Step 6: Final answer
    x = 134,571.13

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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.