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Finding the Fourth Proportional to 70,967.54, 106,449 and 28,835.16

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Solution

The fourth proportional to 70,967.54, 106,449 and 28,835.16 is: 43,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,967.54 : 106,449 = 28,835.16 : x
  2. Step 2: Convert to fraction form
    70,967.54/106,449 = 28,835.16/x
  3. Step 3: Cross multiply
    70,967.54x = 106,449 × 28,835.16
  4. Step 4: Simplify right side
    70,967.54x = 3,069,473,946.84
  5. Step 5: Solve for x
    x = 3,069,473,946.84/70,967.54
  6. Step 6: Final answer
    x = 43,251.80

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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.