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Finding the Fourth Proportional to 70,989.16, 106,213.02 and 42,805.48

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Solution

The fourth proportional to 70,989.16, 106,213.02 and 42,805.48 is: 64,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,989.16 : 106,213.02 = 42,805.48 : x
  2. Step 2: Convert to fraction form
    70,989.16/106,213.02 = 42,805.48/x
  3. Step 3: Cross multiply
    70,989.16x = 106,213.02 × 42,805.48
  4. Step 4: Simplify right side
    70,989.16x = 4,546,499,303.35
  5. Step 5: Solve for x
    x = 4,546,499,303.35/70,989.16
  6. Step 6: Final answer
    x = 64,044.98

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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.