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Finding the Fourth Proportional to 155,434.20, 232,805.70 and 134,698.20

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Solution

The fourth proportional to 155,434.20, 232,805.70 and 134,698.20 is: 201,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,434.20 : 232,805.70 = 134,698.20 : x
  2. Step 2: Convert to fraction form
    155,434.20/232,805.70 = 134,698.20/x
  3. Step 3: Cross multiply
    155,434.20x = 232,805.70 × 134,698.20
  4. Step 4: Simplify right side
    155,434.20x = 31,358,508,739.74
  5. Step 5: Solve for x
    x = 31,358,508,739.74/155,434.20
  6. Step 6: Final answer
    x = 201,747.81

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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.