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Finding the Fourth Proportional to 145,311.90, 217,967.85 and 127,815.90

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Solution

The fourth proportional to 145,311.90, 217,967.85 and 127,815.90 is: 191,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,311.90 : 217,967.85 = 127,815.90 : x
  2. Step 2: Convert to fraction form
    145,311.90/217,967.85 = 127,815.90/x
  3. Step 3: Cross multiply
    145,311.90x = 217,967.85 × 127,815.90
  4. Step 4: Simplify right side
    145,311.90x = 27,859,756,918.82
  5. Step 5: Solve for x
    x = 27,859,756,918.82/145,311.90
  6. Step 6: Final answer
    x = 191,723.85

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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.