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Finding the Fourth Proportional to 172,945, 238,664.10 and 93,457

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Solution

The fourth proportional to 172,945, 238,664.10 and 93,457 is: 128,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,945 : 238,664.10 = 93,457 : x
  2. Step 2: Convert to fraction form
    172,945/238,664.10 = 93,457/x
  3. Step 3: Cross multiply
    172,945x = 238,664.10 × 93,457
  4. Step 4: Simplify right side
    172,945x = 22,304,830,793.70
  5. Step 5: Solve for x
    x = 22,304,830,793.70/172,945
  6. Step 6: Final answer
    x = 128,970.66

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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.