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Finding the Fourth Proportional to 70,957.45, 106,405.28 and 20,345.30

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Solution

The fourth proportional to 70,957.45, 106,405.28 and 20,345.30 is: 30,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.45 : 106,405.28 = 20,345.30 : x
  2. Step 2: Convert to fraction form
    70,957.45/106,405.28 = 20,345.30/x
  3. Step 3: Cross multiply
    70,957.45x = 106,405.28 × 20,345.30
  4. Step 4: Simplify right side
    70,957.45x = 2,164,847,660.06
  5. Step 5: Solve for x
    x = 2,164,847,660.06/70,957.45
  6. Step 6: Final answer
    x = 30,509.10

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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.