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Finding the Fourth Proportional to 70,663.90, 105,963.45 and 31,200.70

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Solution

The fourth proportional to 70,663.90, 105,963.45 and 31,200.70 is: 46,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,663.90 : 105,963.45 = 31,200.70 : x
  2. Step 2: Convert to fraction form
    70,663.90/105,963.45 = 31,200.70/x
  3. Step 3: Cross multiply
    70,663.90x = 105,963.45 × 31,200.70
  4. Step 4: Simplify right side
    70,663.90x = 3,306,133,814.42
  5. Step 5: Solve for x
    x = 3,306,133,814.42/70,663.90
  6. Step 6: Final answer
    x = 46,786.74

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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.