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Finding the Fourth Proportional to 172,930.26, 238,644.16 and 97,478.76

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Solution

The fourth proportional to 172,930.26, 238,644.16 and 97,478.76 is: 134,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,930.26 : 238,644.16 = 97,478.76 : x
  2. Step 2: Convert to fraction form
    172,930.26/238,644.16 = 97,478.76/x
  3. Step 3: Cross multiply
    172,930.26x = 238,644.16 × 97,478.76
  4. Step 4: Simplify right side
    172,930.26x = 23,262,736,798.04
  5. Step 5: Solve for x
    x = 23,262,736,798.04/172,930.26
  6. Step 6: Final answer
    x = 134,520.91

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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.