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Finding the Fourth Proportional to 70,497.50, 105,734.91 and 20,565.86

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Solution

The fourth proportional to 70,497.50, 105,734.91 and 20,565.86 is: 30,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497.50 : 105,734.91 = 20,565.86 : x
  2. Step 2: Convert to fraction form
    70,497.50/105,734.91 = 20,565.86/x
  3. Step 3: Cross multiply
    70,497.50x = 105,734.91 × 20,565.86
  4. Step 4: Simplify right side
    70,497.50x = 2,174,529,356.17
  5. Step 5: Solve for x
    x = 2,174,529,356.17/70,497.50
  6. Step 6: Final answer
    x = 30,845.48

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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.