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Finding the Fourth Proportional to 70,505.70, 105,733.89 and 28,374.84

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Solution

The fourth proportional to 70,505.70, 105,733.89 and 28,374.84 is: 42,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.70 : 105,733.89 = 28,374.84 : x
  2. Step 2: Convert to fraction form
    70,505.70/105,733.89 = 28,374.84/x
  3. Step 3: Cross multiply
    70,505.70x = 105,733.89 × 28,374.84
  4. Step 4: Simplify right side
    70,505.70x = 3,000,182,211.33
  5. Step 5: Solve for x
    x = 3,000,182,211.33/70,505.70
  6. Step 6: Final answer
    x = 42,552.34

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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.