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Finding the Fourth Proportional to 172,409.18, 237,920.96 and 99,815.13

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Solution

The fourth proportional to 172,409.18, 237,920.96 and 99,815.13 is: 137,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,409.18 : 237,920.96 = 99,815.13 : x
  2. Step 2: Convert to fraction form
    172,409.18/237,920.96 = 99,815.13/x
  3. Step 3: Cross multiply
    172,409.18x = 237,920.96 × 99,815.13
  4. Step 4: Simplify right side
    172,409.18x = 23,748,111,053.05
  5. Step 5: Solve for x
    x = 23,748,111,053.05/172,409.18
  6. Step 6: Final answer
    x = 137,742.73

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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.