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Finding the Fourth Proportional to 70,498.60, 105,737.56 and 20,565.28

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Solution

The fourth proportional to 70,498.60, 105,737.56 and 20,565.28 is: 30,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.60 : 105,737.56 = 20,565.28 : x
  2. Step 2: Convert to fraction form
    70,498.60/105,737.56 = 20,565.28/x
  3. Step 3: Cross multiply
    70,498.60x = 105,737.56 × 20,565.28
  4. Step 4: Simplify right side
    70,498.60x = 2,174,522,527.92
  5. Step 5: Solve for x
    x = 2,174,522,527.92/70,498.60
  6. Step 6: Final answer
    x = 30,844.90

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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.