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Finding the Fourth Proportional to 70,420.32, 105,628.32 and 28,836

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Solution

The fourth proportional to 70,420.32, 105,628.32 and 28,836 is: 43,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,420.32 : 105,628.32 = 28,836 : x
  2. Step 2: Convert to fraction form
    70,420.32/105,628.32 = 28,836/x
  3. Step 3: Cross multiply
    70,420.32x = 105,628.32 × 28,836
  4. Step 4: Simplify right side
    70,420.32x = 3,045,898,235.52
  5. Step 5: Solve for x
    x = 3,045,898,235.52/70,420.32
  6. Step 6: Final answer
    x = 43,253.12

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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.