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Finding the Fourth Proportional to 192,906.34, 289,009.58 and 142,430.38

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Solution

The fourth proportional to 192,906.34, 289,009.58 and 142,430.38 is: 213,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,906.34 : 289,009.58 = 142,430.38 : x
  2. Step 2: Convert to fraction form
    192,906.34/289,009.58 = 142,430.38/x
  3. Step 3: Cross multiply
    192,906.34x = 289,009.58 × 142,430.38
  4. Step 4: Simplify right side
    192,906.34x = 41,163,744,303.04
  5. Step 5: Solve for x
    x = 41,163,744,303.04/192,906.34
  6. Step 6: Final answer
    x = 213,387.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.