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Finding the Fourth Proportional to 45,460, 68,000.10 and 31,950.24

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Solution

The fourth proportional to 45,460, 68,000.10 and 31,950.24 is: 47,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,460 : 68,000.10 = 31,950.24 : x
  2. Step 2: Convert to fraction form
    45,460/68,000.10 = 31,950.24/x
  3. Step 3: Cross multiply
    45,460x = 68,000.10 × 31,950.24
  4. Step 4: Simplify right side
    45,460x = 2,172,619,515.02
  5. Step 5: Solve for x
    x = 2,172,619,515.02/45,460
  6. Step 6: Final answer
    x = 47,791.89

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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.