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Finding the Fourth Proportional to 213,945.71, 295,178.48 and 142,337.86

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Solution

The fourth proportional to 213,945.71, 295,178.48 and 142,337.86 is: 196,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,945.71 : 295,178.48 = 142,337.86 : x
  2. Step 2: Convert to fraction form
    213,945.71/295,178.48 = 142,337.86/x
  3. Step 3: Cross multiply
    213,945.71x = 295,178.48 × 142,337.86
  4. Step 4: Simplify right side
    213,945.71x = 42,015,072,245.38
  5. Step 5: Solve for x
    x = 42,015,072,245.38/213,945.71
  6. Step 6: Final answer
    x = 196,381.94

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1.5x scale

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.