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Finding the Fourth Proportional to 172,066.30, 237,409.95 and 100,405.42

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Solution

The fourth proportional to 172,066.30, 237,409.95 and 100,405.42 is: 138,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,066.30 : 237,409.95 = 100,405.42 : x
  2. Step 2: Convert to fraction form
    172,066.30/237,409.95 = 100,405.42/x
  3. Step 3: Cross multiply
    172,066.30x = 237,409.95 × 100,405.42
  4. Step 4: Simplify right side
    172,066.30x = 23,837,245,741.93
  5. Step 5: Solve for x
    x = 23,837,245,741.93/172,066.30
  6. Step 6: Final answer
    x = 138,535.24

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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.