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Finding the Fourth Proportional to 172,569.70, 238,145.70 and 97,118.20

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Solution

The fourth proportional to 172,569.70, 238,145.70 and 97,118.20 is: 134,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569.70 : 238,145.70 = 97,118.20 : x
  2. Step 2: Convert to fraction form
    172,569.70/238,145.70 = 97,118.20/x
  3. Step 3: Cross multiply
    172,569.70x = 238,145.70 × 97,118.20
  4. Step 4: Simplify right side
    172,569.70x = 23,128,281,721.74
  5. Step 5: Solve for x
    x = 23,128,281,721.74/172,569.70
  6. Step 6: Final answer
    x = 134,022.84

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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.