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Finding the Fourth Proportional to 70,927.16, 106,358.04 and 20,989.40

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Solution

The fourth proportional to 70,927.16, 106,358.04 and 20,989.40 is: 31,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,927.16 : 106,358.04 = 20,989.40 : x
  2. Step 2: Convert to fraction form
    70,927.16/106,358.04 = 20,989.40/x
  3. Step 3: Cross multiply
    70,927.16x = 106,358.04 × 20,989.40
  4. Step 4: Simplify right side
    70,927.16x = 2,232,391,444.78
  5. Step 5: Solve for x
    x = 2,232,391,444.78/70,927.16
  6. Step 6: Final answer
    x = 31,474.42

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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.